The soliton solutions and long-time asymptotic analysis for an integrable variable coefficient nonlocal nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: The soliton solutions and long-time asymptotic analysis for an integrable variable coefficient nonlocal nonlinear Schrödinger equation
zbMATH Open document ID: 1483.35200
DOI: 10.1155/2021/5570788
author: Guiying Chen
author: Feng Zhang
author: Xiang-Peng Xin
published in: Advances in Mathematical Physics
publication date: 2022-01-06T00:00:00Z
review text: Summary: An integrable variable coefficient nonlocal nonlinear Schrödinger equation (NNLS) is studied; by employing the Hirota's bilinear method, the bilinear form is obtained, and the \(N\)-soliton solutions are constructed. In addition, some singular solutions and period solutions of the addressed equation with specific coefficients are shown. Finally, under certain conditions, the asymptotic behavior of the two-soliton solution is analyzed to prove that the collision of the two-soliton is elastic.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 7452844
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: soliton
zbMATH Keywords: Hirota's bilinear method
zbMATH Keywords: integrability
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5570788
OpenAlex ID: W4200399479
cites work: Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry
cites work: Solutions of nonlocal Schrödinger equation via the Caputo-Fabrizio definition for some quantum systems
cites work: Nonlocal phenomena in quantum mechanics with fractional calculus
cites work: Far-field asymptotics for multiple-pole solitons in the large-order limit
cites work: Complete integrability of nonlocal nonlinear Schrödinger equation
cites work: Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data
cites work: Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations
cites work: On general rogue waves in the parity-time-symmetric nonlinear Schrödinger equation
cites work: Multiple bright soliton solutions of a reverse-space nonlocal nonlinear Schrödinger equation
cites work: General \(N\)-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations
cites work: On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions
cites work: Inverse scattering and soliton solutions of nonlocal complex reverse-spacetime mKdV equations
cites work: Breather, lump and \(X\) soliton solutions to nonlocal KP equation
cites work: Integrable nonlocal vector nonlinear Schrödinger equation with self-induced parity-time-symmetric potential
cites work: Nonlocal general vector nonlinear Schrödinger equations: integrability, \(\mathcal{PT}\) symmetribility, and solutions
cites work: \(N\)-soliton solution for an integrable nonlocal discrete focusing nonlinear Schrödinger equation
cites work: Gram determinant solutions to nonlocal integrable discrete nonlinear Schrödinger equations via the pair reduction
cites work: Degenerate and non-degenerate solutions of \(\mathcal{PT}\)-symmetric nonlocal integrable discrete nonlinear Schrödinger equation
cites work: \(P T\)-symmetric nonlocal Davey-Stewartson I equation: general lump-soliton solutions on a background of periodic line waves
cites work: Darboux transformation of the variable coefficient nonlocal equation
description: scientific article; zbMATH DE number 7452844