Initial value problem for the pair transition coupled nonlinear Schrödinger equations via the Riemann-Hilbert method
type: Item
instance of: scholarly article
title: Initial value problem for the pair transition coupled nonlinear Schrödinger equations via the Riemann-Hilbert method
zbMATH Open document ID: 1446.35186
author: Wei-Qi Peng
author: Shou-Fu Tian
author: Tian-Tian Zhang
published in: Complex Analysis and Operator Theory
publication date: 2020-04-07T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q15
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7186882
zbMATH Keywords: Riemann-Hilbert problem
zbMATH Keywords: pair transition coupled nonlinear Schrödinger equations
zbMATH Keywords: soliton solution
MaRDI profile type: Publication
full work available at URL: s11785-020-00997-1
OpenAlex ID: W3012031728
cites work: Quasi-particle theory of optical soliton interaction
cites work: Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions
cites work: \(N\)-fold Darboux transformation and discrete soliton solutions for the discrete Hirota equation
cites work: Darboux transformation of the second-type derivative nonlinear Schrödinger equation
cites work: Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations
cites work: Method for Solving the Korteweg-deVries Equation
cites work: Nonlinear-evolution equations of physical significance
cites work: The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
cites work: Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system
cites work: Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method
cites work: The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method
cites work: Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition
cites work: Initial-boundary value problems for the coupled modified Korteweg-de Vries equation on the interval
cites work: Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
cites work: An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 × 4 Lax pair on the half-line
cites work: The three-wave equation on the half-line
cites work: Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line
cites work: Initial-boundary value problems for the coupled nonlinear Schrödinger equation on the half-line
cites work: On a novel integrable generalization of the nonlinear Schrödinger equation
cites work: The short pulse equation by a Riemann-Hilbert approach
cites work: The Ostrovsky–Vakhnenko equation by a Riemann–Hilbert approach
cites work: A Riemann-Hilbert approach for a new type coupled nonlinear Schrödinger equations
cites work: The derivative nonlinear Schrödinger equation on the half-line
cites work: Initial-boundary value problems for integrable evolution equations with \(3\times 3\) Lax pairs
cites work: Long-time asymptotics for the Sasa–Satsuma equation via nonlinear steepest descent method
cites work: Q4420610
cites work: A Unified Approach to Boundary Value Problems
cites work: A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
cites work: Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
DOI: 10.1007/S11785-020-00997-1
Recommended article: A Riemann-Hilbert approach for a new type coupled nonlinear Schrödinger equations
Recommended article: Application of Riemann-Hilbert method to an extended coupled nonlinear Schrödinger equations
Recommended article: The Riemann-Hilbert Approach to Initial-Boundary Value Problems for Integrable Coherently Coupled Nonlinear Schrodinger Systems on the Half-Line
Recommended article: Q5490988
Recommended article: A Riemann-Hilbert approach to the initial-boundary problem for derivative nonlinear Schrödinger equation
Recommended article: The Riemann–Hilbert problem to coupled nonlinear Schrödinger equation: Long-time dynamics on the half-line
Recommended article: Initial-boundary value problems for the coupled nonlinear Schrödinger equation on the half-line
Recommended article: Q3475737
Recommended article: Initial-boundary value problems for the nonlinear Schrödinger equation
Recommended article: Initial-boundary value problems for the coupled higher-order nonlinear Schrödinger equations on the half-line
description: scientific article; zbMATH DE number 7186882