Nonlocal-derivative NLS equations and group-invariant soliton solutions
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Publication:2057489
DOI10.1186/s13662-020-2530-5zbMath1482.35219OpenAlexW3032376886MaRDI QIDQ2057489
Publication date: 6 December 2021
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-2530-5
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
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Cites Work
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- Breathers and rogue waves for a third order nonlocal partial differential equation by a bilinear transformation
- A Riemann-Hilbert approach to the Harry-Dym equation on the line
- Darboux transformation and analytic solutions of the discrete \(\mathcal{PT}\)-symmetric nonlocal nonlinear Schrödinger equation
- Nonlocal symmetry and similarity reductions for the Drinfeld-Sokolov-Satsuma-Hirota system
- Families of rational solutions of the \(y\)-nonlocal Davey-Stewartson II equation
- The Riemann-Hilbert problem and long-time asymptotics for the Kundu-Eckhaus equation with decaying initial value
- Solutions of the nonlocal nonlinear Schrödinger hierarchy via reduction
- Integrable nonlocal vector nonlinear Schrödinger equation with self-induced parity-time-symmetric potential
- Bäcklund-Darboux transformations and discretizations of \(N=2a=-2\) supersymmetric KdV equation
- Exact \(P_sT_d\) invariant and \(P_sT_d\) symmetric breaking solutions, symmetry reductions and Bäcklund transformations for an AB-KdV system
- The Nehari manifold for a boundary value problem involving Riemann-Liouville fractional derivative
- The new exact solitary wave solutions and stability analysis for the \((2+1)\)-dimensional Zakharov-Kuznetsov equation
- A new computational approach for solving nonlinear local fractional PDEs
- Coherent structure of Alice-Bob modified Korteweg de-Vries equation
- On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions
- Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations
- Dynamics of rogue waves in the partially \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson systems
- Binary Darboux transformations of the supersymmetric Heisenberg magnet model
- Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
- Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform
- Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- Nonlocal symmetries related to Bäcklund transformation and their applications
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Darboux transformation and multi-soliton solutions of local/nonlocal N-wave interactions
- Extended Riemann-Liouville fractional derivative operator and its applications
- Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
- Soliton Solutions of Wronskian Form to the Nonlocal Boussinesq Equation
- N -Soliton Solutions of General Nonlinear Schrödinger Equation with Derivative
- Alice-Bob systems, P^-T^-Ĉ symmetry invariant and symmetry breaking soliton solutions
- On exact traveling-wave solutions for local fractional Korteweg-de Vries equation
- Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations
- Traveling wave solutions and conservation laws for nonlinear evolution equation
- Dark–bright optical solitary waves and modulation instability analysis with (2 + 1)-dimensional cubic-quintic nonlinear Schrödinger equation
- EXACT TRAVELING-WAVE SOLUTIONS FOR ONE-DIMENSIONAL MODIFIED KORTEWEG–DE VRIES EQUATION DEFINED ON CANTOR SETS
- Nonlocal symmetries of the Hirota-Satsuma coupled Korteweg-de Vries system and their applications: Exact interaction solutions and integrable hierarchy
- A new fractal nonlinear Burgers' equation arising in the acoustic signals propagation
- Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation
- Prohibitions caused by nonlocality for nonlocal Boussinesq‐KdV type systems
- Some inequalities involving Hadamard‐type k‐fractional integral operators
- Solutions of Nonlocal Equations Reduced from the AKNS Hierarchy
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