Inverse scattering transform of an extended nonlinear Schrödinger equation with nonzero boundary conditions and its multisoliton solutions
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Publication:2306228
DOI10.1016/j.jmaa.2020.123968zbMath1435.35361arXiv1911.10655OpenAlexW2989777663MaRDI QIDQ2306228
Publication date: 20 March 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.10655
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (9)
Double and triple pole solutions for the Gerdjikov–Ivanov type of derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions ⋮ The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: inverse scattering transform and multisoliton solutions ⋮ The \(\bar{\partial}\)-dressing method applied to nonlinear defocusing Hirota equation with nonzero boundary conditions ⋮ The discrete modified Korteweg-de Vries equation under nonzero boundary conditions ⋮ Inverse Scattering Method for Constructing Multisoliton Solutions of Higher-Order Nonlinear Schrödinger Equations ⋮ Multi-soliton solutions for the nonlocal Kundu-nonlinear Schrödinger equation with step-like initial data ⋮ Solitons in nonlinear systems with higher-order effects ⋮ Pure soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equation ⋮ Riemann-Hilbert problem for the Kundu-type nonlinear Schrödinger equation with \(N\) distinct arbitrary-order poles
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