The soliton solutions and long-time asymptotic analysis for an integrable variable coefficient nonlocal nonlinear Schrödinger equation
From MaRDI portal
Publication:2064703
DOI10.1155/2021/5570788zbMath1483.35200OpenAlexW4200399479MaRDI QIDQ2064703
Feng Zhang, Guiying Chen, Xiang-Peng Xin
Publication date: 6 January 2022
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/5570788
Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)
Cites Work
- \(N\)-soliton solution for an integrable nonlocal discrete focusing nonlinear Schrödinger equation
- Nonlocal general vector nonlinear Schrödinger equations: integrability, \(\mathcal{PT}\) symmetribility, and solutions
- General \(N\)-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations
- Breather, lump and \(X\) soliton solutions to nonlocal KP equation
- Integrable nonlocal vector nonlinear Schrödinger equation with self-induced parity-time-symmetric potential
- On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions
- Far-field asymptotics for multiple-pole solitons in the large-order limit
- Solutions of nonlocal Schrödinger equation via the Caputo-Fabrizio definition for some quantum systems
- \(P T\)-symmetric nonlocal Davey-Stewartson I equation: general lump-soliton solutions on a background of periodic line waves
- Multiple bright soliton solutions of a reverse-space nonlocal nonlinear Schrödinger equation
- Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations
- Darboux transformation of the variable coefficient nonlocal equation
- Inverse scattering and soliton solutions of nonlocal complex reverse-spacetime mKdV equations
- Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data
- Nonlocal phenomena in quantum mechanics with fractional calculus
- Degenerate and non-degenerate solutions of \(\mathcal{PT}\)-symmetric nonlocal integrable discrete nonlinear Schrödinger equation
- Gram determinant solutions to nonlocal integrable discrete nonlinear Schrödinger equations via the pair reduction
- On general rogue waves in the parity-time-symmetric nonlinear Schrödinger equation
- Complete integrability of nonlocal nonlinear Schrödinger equation
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
