| Publication | Date of Publication | Type |
|---|
| Numerical simulations of two-dimensional incompressible Navier-Stokes equations by the backward substitution projection method | 2024-04-16 | Paper |
| A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems | 2023-06-05 | Paper |
| Singular boundary method: a review and computer implementation aspects | 2023-05-10 | Paper |
| Electroelastic Analysis of Two-Dimensional Piezoelectric Structures by the Localized Method of Fundamental Solutions | 2023-05-05 | Paper |
| The integrability of a \((2+1)\)-dimensional nonlinear wave equation: Painlevé property, multi-order breathers, multi-order lumps and hybrid solutions | 2023-03-14 | Paper |
| Nondegenerate N-soliton solutions for Manakov system | 2023-01-26 | Paper |
| Exact solutions for a variable-coefficients nonisospectral nonlinear Schrödinger equation via Wronskian technique | 2022-10-11 | Paper |
| A novel Fourier-based meshless method for \(( 3 + 1 )\)-dimensional fractional partial differential equation with general time-dependent boundary conditions | 2022-10-11 | Paper |
| Space-time backward substitution method for nonlinear transient heat conduction problems in functionally graded materials | 2022-09-30 | Paper |
| Solving nonlinear third-order three-point boundary value problems by boundary shape functions methods | 2022-08-25 | Paper |
| The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair | 2022-08-22 | Paper |
| On the Riemann-Hilbert problem for the integrable three-coupled Hirota system with a \(4 \times 4\) matrix Lax pair | 2022-06-03 | Paper |
| A Numerical-Analytical Method for Time-Fractional Dual-Phase-Lag Models of Heat Transfer | 2022-05-17 | Paper |
| Boundary shape function iterative method for nonlinear second-order boundary value problems with nonlinear boundary conditions | 2022-02-22 | Paper |
| A semi-analytic collocation method for space fractional parabolic PDE | 2022-02-08 | Paper |
| Localized singular boundary method for the simulation of large-scale problems of elliptic operators in complex geometries | 2021-12-17 | Paper |
| Bending analysis of magnetoelectroelastic nanoplates resting on Pasternak elastic foundation based on nonlocal theory | 2021-12-14 | Paper |
| A homogenization function method for inverse heat source problems in 3D functionally graded materials | 2021-12-08 | Paper |
| A novel meshless space-time backward substitution method and its application to nonhomogeneous advection-diffusion problems | 2021-11-09 | Paper |
| A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media | 2021-11-01 | Paper |
| Solution of Cauchy Problems by the Multiple Scale Method of Particular Solutions Using Polynomial Basis Functions | 2021-10-29 | Paper |
| A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion Problems | 2021-10-12 | Paper |
| A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media | 2021-10-12 | Paper |
| Simulation of Seismic Wave Scattering by Embedded Cavities in an Elastic Half-Plane Using the Novel Singular Boundary Method | 2021-10-11 | Paper |
| A space-time backward substitution method for three-dimensional advection-diffusion equations | 2021-08-20 | Paper |
| LUMP AND MIXED ROGUE-SOLITON SOLUTIONS TO THE 2+1 DIMENSIONAL ABLOWITZ-KAUP-NEWELL-SEGUR EQUATION | 2021-04-09 | Paper |
| LUMPS AND THEIR INTERACTION SOLUTIONS OF A (2+1)-DIMENSIONAL GENERALIZED POTENTIAL KADOMTSEV-PETVIASHVILI EQUATION | 2021-04-09 | Paper |
| The radial basis function differential quadrature method with ghost points | 2021-03-06 | Paper |
| Solitons on a Periodic Wave Background of the Modified KdV-Sine-Gordon Equation | 2021-01-12 | Paper |
| Soliton molecules and the CRE method in the extended mKdV equation | 2021-01-12 | Paper |
| Interactions solutions of various-type rogue with multi-stripe solitons and breather lump for the (2+1)-dimensional Maccari’s system | 2020-12-15 | Paper |
| A new semi-analytical method for solving a class of time fractional partial differential equations with variable coefficients | 2020-12-03 | Paper |
| Boundary moving least squares method for 3D elasticity problems | 2020-10-31 | Paper |
| A meshless singular boundary method for transient heat conduction problems in layered materials | 2020-10-07 | Paper |
| A RBF-based technique for 3D convection-diffusion-reaction problems in an anisotropic inhomogeneous medium | 2020-10-07 | Paper |
| A novel B-spline method to analyze convection-diffusion-reaction problems in anisotropic inhomogeneous medium | 2020-08-05 | Paper |
| Interaction solutions between lump and stripe soliton to the \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation | 2020-08-04 | Paper |
| Simulating thin plate bending problems by a family of two-parameter homogenization functions | 2020-04-21 | Paper |
| Consistent Riccati expansion and rational solutions of the Drinfel'd-Sokolov-Wilson equation | 2020-04-07 | Paper |
| Modified Ringel-Hall algebras, naive lattice algebras and lattice algebras | 2020-04-01 | Paper |
| Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems | 2020-02-05 | Paper |
| A cubic B-spline semi-analytical algorithm for simulation of 3D steady-state convection-diffusion-reaction problems | 2020-01-21 | Paper |
| Lump and mixed rogue-soliton solutions of the (2 + 1)-dimensional Mel'nikov system | 2019-12-18 | Paper |
| A novel meshless method for fully nonlinear advection-diffusion-reaction problems to model transfer in anisotropic media | 2019-11-22 | Paper |
| An accurate meshless collocation technique for solving two-dimensional hyperbolic telegraph equations in arbitrary domains | 2019-11-07 | Paper |
| Simulation of linear and nonlinear advection-diffusion-reaction problems by a novel localized scheme | 2019-10-02 | Paper |
| Boundary moving least square method for 2D elasticity problems | 2019-09-26 | Paper |
| A new nonlinear equation with lump-soliton, lump-periodic, and lump-periodic-soliton solutions | 2019-09-09 | Paper |
| Modified Ringel-Hall algebras, Green's formula and derived Hall algebras | 2019-03-22 | Paper |
| Some new exact solutions of (1\(+\)2)-dimensional sine-Gordon equation | 2019-02-14 | Paper |
| The adaptive algorithm for the selection of sources of the method of fundamental solutions | 2018-10-19 | Paper |
| Numerical simulation of 3D nonlinear Schrödinger equations by using the localized method of approximate particular solutions | 2018-08-09 | Paper |
| A meshless radial basis function method for steady-state advection-diffusion-reaction equation in arbitrary 2D domains | 2018-08-09 | Paper |
| Direct Perturbation Method for Derivative Nonlinear Schrödinger Equation | 2018-08-03 | Paper |
| Nonlocal Symmetry Reductions for Bosonized Supersymmetric Burgers Equation | 2017-12-06 | Paper |
| Fast Solution of Three-Dimensional Modified Helmholtz Equations by the Method of Fundamental Solutions | 2017-10-27 | Paper |
| Growing actin networks regulated by obstacle size and shape | 2017-10-18 | Paper |
| The \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation: nonlocal symmetries and interaction solutions | 2017-10-06 | Paper |
| Polynomial particular solutions for solving elliptic partial differential equations | 2017-08-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5277066 | 2017-07-14 | Paper |
| Various Kinds Waves and Solitons Interaction Solutions of Boussinesq Equation Describing Ultrashort Pulse in Quadratic Nonlinear Medium | 2017-06-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2984818 | 2017-05-17 | Paper |
| Singular Boundary Method for Various Exterior Wave Applications | 2017-04-07 | Paper |
| Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions | 2017-04-06 | Paper |
| Fast Boundary Knot Method for Solving Axisymmetric Helmholtz Problems with High Wave Number | 2017-02-27 | Paper |
| Exact soliton solutions for the interaction of few-cycle-pulse with nonlinear medium | 2016-12-19 | Paper |
| A new radial basis function for Helmholtz problems | 2016-12-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3462992 | 2016-01-15 | Paper |
| Various Types of Kink and Bright Resonant Soliton Solutions for the (2+1)-Dimensional Double sine-Gordon Equation* | 2015-08-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5257460 | 2015-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5399735 | 2014-02-28 | Paper |
| The Method of Fundamental Solutions for Solving Exterior Axisymmetric Helmholtz Problems with High Wave-Number | 2014-01-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2867363 | 2013-12-11 | Paper |
| Approximate Solutions of Perturbed Nonlinear Schrödinger Equations | 2013-07-17 | Paper |
| Multisoliton Solutions of the (3+1)-Dimensional Nizhnik–Novikov–Veselov Equation | 2013-07-09 | Paper |
| Explicit Soliton and Periodic Solutions to Three-Wave System with Quadratic and Cubic Nonlinearities | 2013-06-05 | Paper |
| Regularized meshless method for nonhomogeneous problems | 2013-03-25 | Paper |
| (2+1)-Dimensional Analytical Solutions of the Combining Cubic-Quintic Nonlinear Schrödinger Equation | 2012-09-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3016640 | 2011-07-19 | Paper |
| Exact Solutions of (2+1)-Dimensional HNLS Equation | 2011-06-30 | Paper |
| A new investigation into regularization techniques for the method of fundamental solutions | 2011-03-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3061717 | 2011-01-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3063460 | 2011-01-02 | Paper |
| Clinic scheduling models with overbooking for patients with heterogeneous no-show probabilities | 2010-11-03 | Paper |
| The Darboux transformation of the Schrödinger equation with an energy-dependent potential | 2010-10-28 | Paper |
| Symmetry group and exact solutions for the 2+1 dimensional Ablowitz–Kaup–Newell–Segur equation | 2010-08-17 | Paper |
| A smoothing Levenberg-Marquardt method for the extended linear complementarity problem | 2010-04-24 | Paper |
| Spectral gradient projection method for monotone nonlinear equations with convex constraints | 2009-08-07 | Paper |
| High-Dimensional Integrable Models with Conformal Invariance | 2009-07-22 | Paper |
| Different-Periodic Travelling Wave Solutions for Nonlinear Equations | 2009-07-22 | Paper |
| Model for Interaction Between Photon and Cold Atom in QED Cavity | 2009-07-22 | Paper |
| A New (2+1)-Dimensional Integrable Equation | 2009-06-10 | Paper |
| LATTICE BOLTZMANN SIMULATION FOR VARIOUS GEOMETRIES OF SOLID OXIDE FUEL CELLS | 2009-06-05 | Paper |
| High-Dimensional Integrable Models with Infinitely Dimensional Virasoro-Type Symmetry Algebra | 2008-11-21 | Paper |
| Conditional Similarity Solutions of the Boussinesq Equation | 2008-11-21 | Paper |
| Exact Solutions of the Coupled KdV System via a Formally Variable Separation Approach | 2008-11-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3512841 | 2008-08-06 | Paper |
| A Trust Region Algorithm with Memory for Equality Constrained Optimization | 2008-07-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3366990 | 2006-01-23 | Paper |
| NEW LOCALIZED EXCITATIONS IN (2+1)-DIMENSIONAL INTEGRABLE SYSTEMS | 2005-10-27 | Paper |
| Microcosmic bound theorem of Darcy's law and its application | 2005-09-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4827838 | 2004-11-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4827360 | 2004-11-16 | Paper |
| Fission and fusion of localized coherent structures for a \((2+1)\)-dimensional KdV equation | 2004-07-01 | Paper |
| The interactions of localized coherent structures for a \((2+1)\)-dimensional system | 2003-06-11 | Paper |
| High-dimensional Virasoro integrable models and exact solutions | 2001-08-29 | Paper |
| Similarity and conditional similarity reductions of a (2+1)-dimensional KdV equation via a direct method | 2001-07-30 | Paper |
| \((3+1)\)-dimensional models with an infinitely dimensional Virasoro type symmetry algebra | 2000-02-08 | Paper |
| The generalized symmetry algebra of the bilinear Kadomtsev-Petviashvili equation | 2000-02-06 | Paper |
| (2+1)-dimensional models with Virasoro-type symmetry algebra | 1997-01-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4897108 | 1996-10-27 | Paper |
| Similarity solutions of the cubic nonlinear Klein-Gordon equation | 1993-05-16 | Paper |
