Riemann-Hilbert approach for the Kundu equation with non-vanishing boundary conditions: simple and double poles
type: Item
instance of: scholarly article
title: Riemann-Hilbert approach for the Kundu equation with non-vanishing boundary conditions: simple and double poles
zbMATH Open document ID: 1504.35209
author: Xinxin Ma
published in: Journal of Mathematical Analysis and Applications
publication date: 2022-12-20T00:00:00Z
Mathematics Subject Classification ID: 35Q15
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 37K15
zbMATH DE Number: 7634999
zbMATH Keywords: Kundu equation
zbMATH Keywords: non-vanishing boundary conditions
zbMATH Keywords: simple and double poles
zbMATH Keywords: Riemann-Hilbert problem
zbMATH Keywords: \(N\)-solitons
zbMATH Keywords: integral term
MaRDI profile type: Publication
full work available at URL: j.jmaa.2022.126873
OpenAlex ID: W4309776214
cites work: Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
cites work: A Robust Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation
cites work: Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions
cites work: Inverse Scattering Transform for the Defocusing Manakov System with Nonzero Boundary Conditions
cites work: Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
cites work: Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background
cites work: A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations.
cites work: Explicit Exact Solitary Wave Solutions for the Kundu Equation and the Derivative Schrödinger Equation
cites work: Method for Solving the Korteweg-deVries Equation
cites work: Q3672402
cites work: Multi-soliton solutions for a higher-order coupled nonlinear Schrödinger system in an optical fiber via Riemann-Hilbert approach
cites work: An introduction to synergetics
cites work: On the Riemann-Hilbert problem of the Kundu equation
cites work: Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform
cites work: An exact solution for a derivative nonlinear Schrödinger equation
cites work: A Riemann-Hilbert approach to the Kundu-nonlinear Schrödinger equation and its multi-component generalization
cites work: \(N\)-soliton solutions for the nonlocal Fokas-Lenells equation via RHP
cites work: Multi-component generalized Gerdjikov-Ivanov integrable hierarchy and its Riemann-Hilbert problem
cites work: Inverse scattering and soliton solutions of nonlocal complex reverse-spacetime mKdV equations
cites work: Modified nonlinear Schrödinger equation for Alfvén waves propagating along the magnetic field in cold plasmas
cites work: Q3732103
cites work: On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles
cites work: Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
cites work: Q3952480
cites work: \(N\)-soliton solution of the Kundu-type equation via Riemann-Hilbert approach
cites work: Nonlinear Waves in Integrable and Nonintegrable Systems
cites work: The bifurcations of traveling wave solutions of the Kundu equation
cites work: A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
cites work: Various exact travelling wave solutions for Kundu equation with fifth-order nonlinear term
cites work: Direct and inverse scattering transforms with arbitrary spectral singularities
DOI: 10.1016/J.JMAA.2022.126873
description: scientific article; zbMATH DE number 7634999