The \(\overline{\partial} \)-dressing method and Cauchy matrix for the defocusing matrix NLS system
type: Item
instance of: scholarly article
title: The \(\overline{\partial} \)-dressing method and Cauchy matrix for the defocusing matrix NLS system
zbMATH Open document ID: 1462.35370
published in: Applied Mathematics Letters
publication date: 2021-04-28T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 78A60
Mathematics Subject Classification ID: 37K35
zbMATH DE Number: 7340785
zbMATH Keywords: \( \overline{\partial} \)-dressing method
zbMATH Keywords: matrix NLS equation
zbMATH Keywords: Lax pair
zbMATH Keywords: soliton solution
author: Yu-Qin Yao
author: Ye-Hui Huang
author: En. Gui Fan
MaRDI profile type: Publication
full work available at URL: j.aml.2021.107143
OpenAlex ID: W3129374331
cites work: Q3925229
cites work: Soliton interactions in the vector NLS equation
cites work: General \(N\)-dark-dark solitons in the coupled nonlinear Schrödinger equations
cites work: Inverse scattering transform and soliton solutions for square matrix nonlinear Schrödinger equations with non-zero boundary conditions
cites work: Inverse Scattering Transform and Solitons for Square Matrix Nonlinear Schrödinger Equations with Mixed Sign Reductions and Nonzero Boundary Conditions
cites work: A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
cites work: The D-bar approach to inverse scattering and nonlinear evolutions
cites work: delta equations in the theory of integrable systems
cites work: A dressing method in mathematical physics.
cites work: The dressing method and nonlocal Riemann-Hilbert problems
cites work: A three-wave interaction model with self-consistent sources: the \(\overline{\partial}\)-dressing method and solutions
cites work: \( \overline{\partial} \)-dressing method for the coupled Gerdjikov-Ivanov equation
cites work: Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method
cites work: Linear spectral problems, non-linear equations and the δ-method
DOI: 10.1016/J.AML.2021.107143
Recommended article: \( \overline{\partial} \)-dressing method for the nonlocal mKdV equation
Recommended article: Q5359822
Recommended article: The \(\bar{\partial}\)-dressing method applied to nonlinear defocusing Hirota equation with nonzero boundary conditions
Recommended article: The application of the -dressing method to some integrable -dimensional nonlinear equations
Recommended article: A \(\overline{\partial } \)-dressing method for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation
Recommended article: \( \bar{\partial } \)-dressing method for a generalized \((2 + 1)\)-dimensional nonlinear wave equation
Recommended article: Solutions of matrix NLS systems and their discretizations: a unified treatment
Recommended article: A hierarchy of nonlocal nonlinear evolution equations and \(\overline{\partial} \)-dressing method
Recommended article: A \(\overline{\partial}\)-dressing approach to the Kundu-Eckhaus equation
Recommended article: \( \overline{\partial} \)-dressing method for the coupled Gerdjikov-Ivanov equation
description: scientific article; zbMATH DE number 7340785