| Publication | Date of Publication | Type |
|---|
| Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent? | 2024-02-21 | Paper |
| Deep neural networks learning forward and inverse problems of two-dimensional nonlinear wave equations with rational solitons | 2024-01-05 | Paper |
| The Cauchy problem and multi-peakons for the mCH-Novikov-CH equation with quadratic and cubic nonlinearities | 2023-12-21 | Paper |
| Symmetry breaking bifurcations and excitations of solitons in linearly coupled NLS equations with PT-symmetric potentials | 2023-09-28 | Paper |
| Well-posedness of scattering data for the derivative nonlinear Schr\"odinger equation in $H^s(\mathbb{R})$ | 2023-09-17 | Paper |
| Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds | 2023-06-19 | Paper |
| Data-driven vortex solitons and parameter discovery of 2D generalized nonlinear Schrödinger equations with a \(\mathcal{PT}\)-symmetric optical lattice | 2023-06-05 | Paper |
| Deep learning neural networks for the third-order nonlinear Schrödinger equation: bright solitons, breathers, and rogue waves | 2023-05-10 | Paper |
| Spontaneous symmetry breaking, stability and adiabatic changes of 2D quantum droplets in amended Gross-Pitaevskii equation with multi-well potential | 2023-05-08 | Paper |
| Deep learning soliton dynamics and complex potentials recognition for 1D and 2D \(\mathcal{PT}\)-symmetric saturable nonlinear Schrödinger equations | 2023-05-08 | Paper |
| Formations and dynamics of two-dimensional spinning asymmetric quantum droplets controlled by a PT-symmetric potential | 2023-03-09 | Paper |
| Data-driven forward and inverse problems for chaotic and hyperchaotic dynamic systems based on two machine learning architectures | 2023-03-09 | Paper |
| Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic-quintic Camassa-Holm type equation | 2023-03-09 | Paper |
| \(N\)-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method | 2023-02-17 | Paper |
| Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized \(\mathcal{PT}\)-symmetric NLS equations | 2023-02-17 | Paper |
| Stable matter-wave solitons, interactions, and excitations in the spinor \(F=1\) Bose-Einstein condensates with \(\mathcal{PT}\)- and non-\(\mathcal{PT}\)-symmetric potentials | 2023-02-16 | Paper |
| Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator | 2023-01-26 | Paper |
| New integrable multi-Lévy-index and mixed fractional nonlinear soliton hierarchies | 2023-01-26 | Paper |
| Soliton formation and dynamics in the quintic nonlinear media with \(\mathcal{PT}\)-invariant harmonic-Gaussian potential | 2023-01-24 | Paper |
| Interactions of fractional \(N\)-solitons with anomalous dispersions for the integrable combined fractional higher-order mKdV hierarchy | 2023-01-17 | Paper |
| Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities | 2022-12-09 | Paper |
| A sine-type Camassa-Holm equation: local well-posedness, Hölder continuity, and wave-breaking analysis | 2022-10-21 | Paper |
| Data-driven discoveries of Bäcklund transformations and soliton evolution equations via deep neural network learning schemes | 2022-10-12 | Paper |
| Data-driven rogue waves and parameters discovery in nearly integrable \(\mathcal{PT}\)-symmetric Gross-Pitaevskii equations via PINNs deep learning | 2022-09-01 | Paper |
| New Integrable Multi-L\'evy-Index and Mixed Fractional Nonlinear Soliton Hierarchies | 2022-08-29 | Paper |
| Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schr\"odinger equations | 2022-08-08 | Paper |
| The Cauchy problem and wave-breaking phenomenon for a generalized sine-type FORQ/mCH equation | 2022-06-15 | Paper |
| Stable solitons and interactions of the logarithmic nonlinear Schrödinger equation with two \(\mathcal{PT} \)-symmetric non-periodic potentials | 2022-06-13 | Paper |
| \(\mathcal{PT}\)-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: stability, interactions and adiabatic excitations | 2022-05-20 | Paper |
| Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation | 2022-05-04 | Paper |
| Focusing and defocusing mKdV equations with nonzero boundary conditions: inverse scattering transforms and soliton interactions | 2022-04-14 | Paper |
| Semi-rational vector rogon-soliton solutions and asymptotic analysis for any \(n\)-component nonlinear Schrödinger equation with mixed boundary conditions | 2022-03-10 | Paper |
| Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning | 2022-02-22 | Paper |
| Higher-dimensional soliton generation, stability and excitations of the \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations | 2022-02-22 | Paper |
| Rational vector rogue waves for the \(n\)-component Hirota equation with non-zero backgrounds | 2022-02-21 | Paper |
| Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds | 2021-12-13 | Paper |
| Data-driven discoveries of B\"acklund transforms and soliton evolution equations via deep neural network learning schemes | 2021-11-17 | Paper |
| The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures | 2021-10-29 | Paper |
| Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours | 2021-10-29 | Paper |
| Inverse scattering and \(N\)-triple-pole soliton and breather solutions of the focusing nonlinear Schrödinger hierarchy with nonzero boundary conditions | 2021-10-19 | Paper |
| Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrödinger equation with a potential using the PINN deep learning | 2021-10-14 | Paper |
| The higher-order nonlinear Schrödinger equation with non-zero boundary conditions: robust inverse scattering transform, breathers, and rogons | 2021-10-06 | Paper |
| Solving forward and inverse problems of the logarithmic nonlinear Schrödinger equation with \(\mathcal{PT}\)-symmetric harmonic potential via deep learning | 2021-09-22 | Paper |
| An initial-boundary value problem for the general three-component nonlinear Schrödinger equations on a finite interval | 2021-08-19 | Paper |
| Long-time asymptotics for the focusing Hirota equation with non-zero boundary conditions at infinity via the Deift-Zhou approach | 2021-08-18 | Paper |
| Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates | 2021-08-17 | Paper |
| Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrödinger equation | 2021-07-15 | Paper |
| The derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions: inverse scattering transforms and \(N\)-double-pole solutions | 2021-04-29 | Paper |
| Long-time asymptotics of solutions for the coupled dispersive AB system with initial value problems | 2021-03-08 | Paper |
| A novel hierarchy of two-family-parameter equations: local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrödinger equations | 2021-03-04 | Paper |
| Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions | 2021-01-27 | Paper |
| The NLS\((n,n)\) equation: multi-hump compactons and their stability and interaction scenarios | 2020-12-02 | Paper |
| Three-component nonlinear Schrödinger equations: modulational instability, \(N\)th-order vector rational and semi-rational rogue waves, and dynamics | 2020-10-23 | Paper |
| Multi-dimensional stable fundamental solitons and excitations in \(\mathcal{PT}\)-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions | 2020-10-21 | Paper |
| Focusing and defocusing Hirota equations with non-zero boundary conditions: inverse scattering transforms and soliton solutions | 2020-10-20 | Paper |
| One- and two-dimensional gap solitons and dynamics in the \(\mathcal{PT}\)-symmetric lattice potential and spatially-periodic momentum modulation | 2020-10-16 | Paper |
| Rogue wave formation and interactions in the defocusing nonlinear Schrödinger equation with external potentials | 2020-10-08 | Paper |
| Higher-order rational solitons and rogue-like wave solutions of the \((2+1)\)-dimensional nonlinear fluid mechanics equations | 2020-10-07 | Paper |
| Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions | 2020-02-28 | Paper |
| The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves | 2019-10-01 | Paper |
| Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a 4 × 4 Lax pair on a finite interval | 2019-09-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3121803 | 2019-03-20 | Paper |
| The n -component nonlinear Schrödinger equations: dark–bright mixed N - and high-order solitons and breathers, and dynamics | 2018-12-28 | Paper |
| Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations | 2018-12-14 | Paper |
| Inverse scattering transforms for the focusing and defocusing mKdV equations with nonzero boundary conditions | 2018-10-29 | Paper |
| Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation | 2018-08-27 | Paper |
| Chaos Control in a New Three-Dimensional Chaotic T System | 2018-08-03 | Paper |
| Effect of PT symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media | 2018-06-13 | Paper |
| The nonlinear Schrödinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations | 2018-05-30 | Paper |
| Multi-dark-dark solitons of the integrable repulsive AB system via the determinants | 2018-05-30 | Paper |
| Stability, integrability, and nonlinear dynamics of PT-symmetric optical couplers with cubic cross-interactions or cubic-quintic nonlinearities | 2018-05-23 | Paper |
| Three-component Gross-Pitaevskii equations in the spin-1 Bose-Einstein condensate: Spin-rotation symmetry, matter-wave solutions, and dynamics | 2018-05-23 | Paper |
| Solitons and their stability in the nonlocal nonlinear Schrödinger equation with PT-symmetric potentials | 2018-05-23 | Paper |
| An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 × 4 Lax pair on the half-line | 2018-05-23 | Paper |
| Three-wave resonant interactions: multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics | 2018-02-23 | Paper |
| On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT- and non-PT-symmetric potentials | 2018-01-15 | Paper |
| Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability | 2018-01-15 | Paper |
| Stable solitons in the 1D and 2D generalized nonlinear Schrödinger equations with the periodic effective mass and \(\mathcal{PT}\)-symmetric potentials | 2017-12-05 | Paper |
| Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrödinger equation | 2017-11-17 | Paper |
| Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation | 2017-11-17 | Paper |
| Long-time asymptotics for initial-boundary value problems of integrable Fokas-Lenells equation on the half-line | 2017-10-17 | Paper |
| Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants | 2017-10-06 | Paper |
| Dynamical behaviors of optical solitons in parity-time (\(\mathcal{PT}\)) symmetric sextic anharmonic double-well potentials | 2017-06-07 | Paper |
| Exact solutions to three-dimensional generalized nonlinear Schrodinger equations with varying potential and nonlinearities | 2017-04-08 | Paper |
| Matter-wave solutions in the Bose-Einstein condensates with the harmonic and Gaussian potentials | 2017-04-08 | Paper |
| Solitonic dynamics and excitations of the nonlinear Schrodinger equation with third-order dispersion in non-Hermitian PT-symmetric potentials | 2017-04-08 | Paper |
| Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation | 2017-04-08 | Paper |
| Stable parity-time-symmetric nonlinear modes and excitations in a derivative nonlinear Schrodinger equation | 2017-04-08 | Paper |
| Families of stable solitons and excitations in the PT-symmetric nonlinear Schrodinger equations with position-dependent effective masses | 2017-03-30 | Paper |
| Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrödinger equation with space-modulated potential and nonlinearities | 2016-10-19 | Paper |
| Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrödinger equation with varying higher-order even and odd terms | 2016-10-19 | Paper |
| Erratum to: ``Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrödinger equation with varying higher-order even and odd terms | 2016-10-19 | Paper |
| Rogue Waves | 2016-10-07 | Paper |
| Nonlocal general vector nonlinear Schrödinger equations: integrability, \(\mathcal{PT}\) symmetribility, and solutions | 2016-09-13 | Paper |
| New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients | 2016-04-20 | Paper |
| Dark Solitons for the Defocusing Cubic Nonlinear Schrödinger Equation with the Spatially Periodic Potential and Nonlinearity | 2015-10-28 | Paper |
| Hopf Bifurcation in a New Four-Dimensional Hyperchaotic System* | 2015-10-01 | Paper |
| Solitons in a nonlinear Schrodinger equation with PT-symmetric potentials and inhomogeneous nonlinearity: stability and excitation of nonlinear modes | 2015-09-19 | Paper |
| Spatial solitons and stability in self-focusing and defocusing Kerr nonlinear media with generalized PT-symmetric Scarff-II potentials | 2015-09-19 | Paper |
| Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model | 2015-09-01 | Paper |
| Controlling temporal solitary waves in the generalized inhomogeneous coupled nonlinear Schrödinger equations with varying source terms | 2015-06-04 | Paper |
| Parameters controlling matter waves in the one-dimensional generalized Gross-Pitaevskii equation with the varying potential and source | 2014-11-19 | Paper |
| Localized Analytical Solutions and Parameters Analysis in the Nonlinear Dispersive Gross–Pitaevskii Mean‐Field GP (m,n) Model with Space‐Modulated Nonlinearity and Potential | 2014-05-30 | Paper |
| Optical rogue waves in the generalized inhomogeneous higher-order nonlinear Schrodinger equation with modulating coefficients | 2013-10-13 | Paper |
| Abundant Symmetries and Exact Compacton-Like Structures in the Two-Parameter Family of the Estevez–Mansfield–Clarkson Equations | 2013-07-09 | Paper |
| New Symmetry Reductions, Dromions-Like and Compacton Solutions for a 2D BS ( m,n ) Equations Hierarchy wit | 2013-07-09 | Paper |
| New Jacobian Elliptic Function Solutions to Modified KdV Equation: I | 2013-07-09 | Paper |
| New Explicit Solitary Wave Solutions and Periodic Wave Solutions for the Generalized Coupled Hirota-Satsuma KdV System | 2013-07-09 | Paper |
| New Jacobian Elliptic Function Solutions of Modified KdV Equation: II | 2013-07-09 | Paper |
| New Exact Jacobi Elliptic Function Solutions of Three-Dimensional Nonlinear Helmholtz Equation in a Nonlinear Kerr-Type Medium | 2013-07-09 | Paper |
| New Soliton Solutions with Compact Support for a Family of Two-Parameter Regularized Long-Wave Boussinesq Equations | 2013-07-09 | Paper |
| Complex $\mathcal {PT}$-symmetric extensions of the nonlinear ultra-short light pulse model | 2013-04-05 | Paper |
| Vector financial rogue waves | 2013-01-02 | Paper |
| Nonautonomous discrete rogue wave solutions and interactions in an inhomogeneous lattice with varying coefficients | 2012-08-30 | Paper |
| Exact analytical solutions for the generalized non-integrable nonlinear Schrödinger equation with varying coefficients | 2012-05-29 | Paper |
| Nonautonomous ``rogons in the inhomogeneous nonlinear Schrödinger equation with variable coefficients | 2012-04-02 | Paper |
| Periodic, solitary and rational wave solutions of the 3D extended quantum Zakharov-Kuznetsov equation in dense quantum plasmas | 2012-02-13 | Paper |
| Two-Dimensional Superfluid Flows in Inhomogeneous Bose-Einstein Condensates | 2011-12-22 | Paper |
| New binary travelling-wave periodic solutions for the modified KdV equation | 2011-07-26 | Paper |
| Financial Rogue Waves | 2011-06-30 | Paper |
| Exact solutions of nonlinear dispersive \(K(m, n)\) model with variable coefficients | 2011-06-27 | Paper |
| Nonautonomous discrete rogue waves and interaction in the generalized Ablowitz-Ladik-Hirota lattice with variable coefficients | 2011-05-17 | Paper |
| Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrödinger equation | 2011-05-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2995410 | 2011-04-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2995412 | 2011-04-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3063437 | 2011-01-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3063466 | 2011-01-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3063352 | 2010-12-31 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3063385 | 2010-12-31 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3063386 | 2010-12-31 | Paper |
| Exact stationary wave patterns in three coupled nonlinear Schrödinger/Gross-Pitaevskii equations | 2010-11-08 | Paper |
| New exact solution profiles of the nonlinear dispersion Drinfel'd-Sokolov \((D(m, n))\) system | 2010-10-28 | Paper |
| Extended Jacobian elliptic function algorithm with symbolic computation to construct new doubly-periodic solutions of nonlinear differential equations | 2010-10-18 | Paper |
| New compacton soliton solutions and solitary patterns solutions of nonlinearly dispersive Boussinesq equations | 2010-10-18 | Paper |
| The Riccati equation with variable coefficients expansion algorithm to find more exact solutions of nonlinear differential equations | 2010-10-18 | Paper |
| Modified nonlinearly dispersive \(mK(m,n,k)\) equations: I. New compacton solutions and solitary pattern solutions | 2010-10-18 | Paper |
| The new extended Jacobian elliptic function expansion algorithm and its applications in nonlinear mathematical physics equations | 2010-10-18 | Paper |
| Modified nonlinearly dispersive \(mK(m,n,k)\) equations: II. Jacobi elliptic function solutions | 2010-10-18 | Paper |
| Three-dimensional rogue waves in non-stationary parabolic potentials | 2010-10-04 | Paper |
| Analytical three-dimensional bright solitons and soliton-pairs in Bose-Einstein condensates with time-space modulation | 2010-09-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3571264 | 2010-07-08 | Paper |
| Symmetry Groups and Exact Solutions of New (4+1)-Dimensional Fokas Equation | 2009-08-27 | Paper |
| New Doubly Periodic Solutions of Nonlinear Evolution Equations via Weierstrass Elliptic Function Expansion Algorithm | 2009-07-22 | Paper |
| Envelope solution profiles of the discrete nonlinear Schrödinger equation with a saturable nonlinearity | 2009-06-09 | Paper |
| Some special types of solutions of a class of the \((N+1)\)-dimensional nonlinear wave equations | 2009-03-12 | Paper |
| The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions | 2009-01-16 | Paper |
| Similarity Reduction and Integrability for the Nonlinear Wave Equations from EPM Model | 2008-11-21 | Paper |
| Symmetry Reductions, Integrability and Solitary Wave Solutions to High-Order Modified Boussinesq Equations with Damping Term | 2008-11-21 | Paper |
| Abundant New Explicit Exact Soliton-Like Solutions and Painlevé Test for the Generalized Burgers Equation in (2+1)-Dimensional Space | 2008-11-21 | Paper |
| New Similarity Reductions and Compacton Solutions for Boussinesq-Like Equations with Fully Nonlinear Dispersion | 2008-11-21 | Paper |
| Envelope compact and solitary pattern structures for the \(\text{GNLS}(m,n,p,q)\) equations | 2008-10-29 | Paper |
| Q-S (complete or anticipated) synchronization backstepping scheme in a class of discrete-time chaotic (hyperchaotic) systems: A symbolic-numeric computation approach | 2008-10-14 | Paper |
| The new tri-function method to multiple exact solutions of nonlinear wave equations | 2008-10-08 | Paper |
| The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations | 2008-09-09 | Paper |
| A nonlinear control scheme to anticipated and complete synchronization in discrete-time chaotic (hyperchaotic) systems | 2008-08-20 | Paper |
| The \((2+1)\)-dimensional integrable coupling of KdV equation: auto-Bäcklund transformation and new non-traveling wave profiles | 2008-08-20 | Paper |
| Q-S synchronization in 3D Hénon-like map and generalized Hénon map via a scalar controller | 2008-05-21 | Paper |
| GLOBALLY EXPONENTIAL HYPERCHAOS (LAG) SYNCHRONIZATION IN A FAMILY OF MODIFIED HYPERCHAOTIC RÖSSLER SYSTEMS | 2008-05-16 | Paper |
| Hopf bifurcation in the Lorenz-type chaotic system | 2008-04-17 | Paper |
| Complex {\cal PT}-symmetric extensions of the non-{\cal PT}-symmetric Burgers equation | 2008-03-31 | Paper |
| Exactly fractional solutions of the \((2+1)\)-dimensional modified KP equation via some fractional transformations | 2008-03-12 | Paper |
| Compactons and noncompactons to three-dimensional Kadomtsev-Petviashvili equation with nonlinear dispersion | 2008-02-14 | Paper |
| Hyperchaos synchronization and control on a new hyperchaotic attractor | 2008-02-11 | Paper |
| Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems | 2008-01-30 | Paper |
| Multiple solution profiles to the higher-dimensional Kadomtsev-Petviashvilli equations via Wronskian determinant | 2008-01-30 | Paper |
| The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations | 2007-12-05 | Paper |
| Chaos Q-S synchronization between Rössler system and the new unified chaotic system | 2007-12-05 | Paper |
| New exact solution structures and nonlinear dispersion in the coupled nonlinear wave systems | 2007-10-15 | Paper |
| Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations | 2007-10-15 | Paper |
| A new hierarchy of Lax and Liouville integrable evolution equations associated with an isospectral problem in the loop algebra \(\tilde A _{2}\) | 2007-05-24 | Paper |
| Separation transformation and envelope solutions of the higher-dimensional complex nonlinear Klein–Gordon equation | 2007-04-25 | Paper |
| Envelope exact solutions for the generalized nonlinear Schrödinger equation with a source | 2006-07-13 | Paper |
| Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system | 2006-07-12 | Paper |
| New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms | 2006-06-09 | Paper |
| Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm | 2006-06-09 | Paper |
| NEW JACOBI ELLIPTIC FUNCTION SOLUTIONS OF (2 +1)-DIMENSIONAL COMPLEX NONLINEAR INTEGRABLE SYSTEM | 2006-01-09 | Paper |
| Nonclassical potential solutions of partial differential equations | 2006-01-03 | Paper |
| A new scheme to generalized (lag, anticipated, and complete) synchronization in chaotic and hyperchaotic systems | 2005-11-08 | Paper |
| Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems—A symbolic-numeric computation approach | 2005-11-08 | Paper |
| Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method | 2005-11-04 | Paper |
| Controlling hyperchaos in the new hyperchaotic Chen system | 2005-11-04 | Paper |
| SYMBOLIC COMPUTATION AND WEIERSTRASS ELLIPTIC FUNCTION SOLUTIONS OF THE DAVEY–STEWARTSON (DS) SYSTEM | 2005-10-27 | Paper |
| NEW ENVELOPE SOLUTIONS FOR COMPLEX NONLINEARSCHRÖDINGER+EQUATION VIA SYMBOLIC COMPUTATION | 2005-10-27 | Paper |
| A REDUCTION mKdV METHOD WITH SYMBOLIC COMPUTATION TO CONSTRUCT NEW DOUBLY-PERIODIC SOLUTIONS FOR NONLINEAR WAVE EQUATIONS | 2005-10-26 | Paper |
| Multiple Soliton-like and Periodic-like Solutions to the Generalization of Integrable (2+1)-Dimensional Dispersive Long-Wave Equations | 2005-08-17 | Paper |
| Exact solutions for a family of variable-coefficient ``reaction--Duffing equations via the Bäcklund transformation | 2005-08-17 | Paper |
| Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method | 2005-08-05 | Paper |
| New Weierstrass elliptic function solutions of the \(N\)-coupled nonlinear Klein-Gordon equations | 2005-08-03 | Paper |
| New exact solutions of \((2+1)\)-dimensional Gardner equation via the new sine-Gordon equation expansion method | 2005-08-03 | Paper |
| A new sine-Gordon equation expansion algorithm to investigate some special nonlinear differential equations | 2005-04-18 | Paper |
| Optical Solitary Wave Solutions to Nonlinear Schrödinger Equation with Cubic–Quintic Nonlinearity in Non-Kerr Media | 2005-04-15 | Paper |
| A family of new integrable couplings with two arbitrary functions of TC hierarchy | 2004-12-14 | Paper |
| An improved algebra method and its applications in nonlinear wave equations | 2004-08-19 | Paper |
| Generalized transformations and abundant new families of exact solutions for (2 + 1)-dimensional dispersive long wave equations | 2004-08-06 | Paper |
| Abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional integrable Davey-Stewartson-type equation via a new method | 2004-07-01 | Paper |
| Constructing exact solutions for two-dimensional nonlinear dispersion Boussinesq equation. II: Solitary pattern solutions | 2004-07-01 | Paper |
| A transformation with symbolic computation and abundant new soliton-like solutions for the (1 2)-dimensional generalized Burgers equation | 2004-06-10 | Paper |
| Jacobi elliptic function solutions of nonlinear wave equations via the new sinh-Gordon equation expansion method | 2004-06-09 | Paper |
| The investigation for (2+1)-dimensional Eckhaus-type extension of the dispersive long wave equation | 2004-06-09 | Paper |
| Applications of fractional exterior differential in three-dimensional space. | 2004-03-16 | Paper |
| New families of solitons with compact support for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion. | 2004-01-14 | Paper |
| The extended Jacobian elliptic function expansion method and its application in the generalized Hirota-Satsuma coupled KdV system. | 2004-01-14 | Paper |
| Two types of hierarchies of evolution equations associated with the extended Kaup-Newell spectral problem with an arbitrary smooth function. | 2004-01-14 | Paper |
| New families of exact solitary patterns solutions for the nonlinearly dispersive \(R(m,n)\) equa\-tions. | 2004-01-14 | Paper |
| A sinh-Gordon equation expansion method to construct doubly periodic solutions for nonlinear differential equations. | 2004-01-14 | Paper |
| Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres. | 2003-12-14 | Paper |
| Constructing families of soliton-like solutions to a \((2+1)\)-dimensional breaking soliton equation using symbolic computation | 2003-12-14 | Paper |
| New families of nontravelling wave solutions to a new (3+1)-dimensional potential-YTSF equation | 2003-10-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2752576 | 2003-08-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4783157 | 2003-08-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4783181 | 2003-08-20 | Paper |
| A hierarchy of the Lax integrable system, its bi-Hamiltonian structure, finite-dimensional integrable system and involutive solution | 2003-08-17 | Paper |
| Painlevé analysis, auto-Bäcklund transformations and exact solutions for a simplified model for reacting mixtures | 2003-07-27 | Paper |
| Symbolic computation and new families of solitary wave solutions to a Hamiltonian amplitude equation | 2003-03-27 | Paper |
| New explicit solitary wave solutions for \((2+1)\)-dimensional Boussinesq equation and \((3+1)\)-dimensional KP equation | 2003-01-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4783117 | 2002-12-02 | Paper |
| Similarity reductions for the nonlinear evolution equation arising in the Fermi-Pasta-Ulam problem | 2002-09-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4550810 | 2002-09-04 | Paper |
| New Lax integrable hierarchy and its Liouville integrable bi-Hamiltonian structure associated an isospectral problem with an arbitrary function. | 2002-08-19 | Paper |
| A pair of finite-dimensional integrable systems possessing the common non-dynamical \(r\)-matrix | 2002-08-19 | Paper |
| A Lax integrable hierarchy, \(N\)-Hamiltonian structure, \(r\)-matrix, finite-dimensional Liouville integrable involutive systems, and involutive solutions. | 2002-08-18 | Paper |
| Liouville integrable \(N\)-Hamiltonian structures, involutive solutions and separation of variables associated with Kaup-Newell hierarchy. | 2002-08-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2778652 | 2002-07-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2781714 | 2002-07-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4539320 | 2002-07-04 | Paper |
| Auto-Darboux transformation and exact solutions of the Brusselator reaction-diffusion model | 2002-07-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2745469 | 2002-04-16 | Paper |
| New explicit and exact travelling wave solutions for a class of nonlinear evolution equations | 2002-04-08 | Paper |
| Study of explicit analytic solutions for the nonlinear coupled scalar field equations | 2002-03-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2725973 | 2002-03-21 | Paper |
| Study on exact analytic solutions for two systems of nonlinear evolution equations | 2002-03-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2748951 | 2002-02-26 | Paper |
| A hierarchy of generalized AKNS equations, N-Hamiltonian structures and finite-dimensional involutive systems and integrable systems | 2002-02-26 | Paper |
| New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations | 2002-01-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2752557 | 2001-10-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2735381 | 2001-09-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2735499 | 2001-09-27 | Paper |
| Explicit exact solutions for the generalized combined KdV and mKdV equation | 2001-09-19 | Paper |
| Similarity reductions for \(2+1\)-dimensional variable coefficient generalized Kadomtsev-Petviashvili equation | 2001-07-29 | Paper |
| Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1)-dimensional spaces | 2001-07-22 | Paper |
| New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water | 2001-07-15 | Paper |
| Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations | 2001-07-10 | Paper |
| Bäcklund transformation, non-local symmetry and exact solutions for \((2+1)\)-dimensional variable coefficient generalized KP equations | 2001-06-19 | Paper |
| On a new algorithm of constructing solitary wave solutions for systems of nonlinear evolution in mathematical physics | 2001-06-13 | Paper |
| Two types of new algorithms for finding explicit analytical solutions of nonlinear differential equations | 2001-05-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4503637 | 2001-01-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4518375 | 2000-11-20 | Paper |
| Symmetry reductions and soliton-like solutions for the variable coefficient MKdV equations | 2000-08-27 | Paper |
| Explicit and exact solutions for the generalized reaction Duffing equation | 2000-05-07 | Paper |
| New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics | 2000-03-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2748943 | 2000-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4702897 | 1999-12-09 | Paper |
| Bäcklund transformation and exact solutions for \((2+1)\)-dimensional Kolmogorov-Petrovsky-Piscounov equation | 1999-09-27 | Paper |
