Reductions of Darboux transformations for the \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson equations
type: Item
instance of: scholarly article
title: Reductions of Darboux transformations for the \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson equations
zbMATH Open document ID: 1393.35184
author: Bo Yang
author: Yong Chen
published in: Applied Mathematics Letters
publication date: 2018-06-20T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 37K35
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 6891855
zbMATH Keywords: \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson equations
zbMATH Keywords: Darboux transformation
zbMATH Keywords: rogue waves
MaRDI profile type: Publication
full work available at URL: j.aml.2017.12.025
OpenAlex ID: W2791429485
cites work: Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations
cites work: Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model
cites work: Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
cites work: Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation
cites work: Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation
cites work: Rogue waves of the nonlocal Davey–Stewartson I equation
cites work: Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations
cites work: On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions
cites work: Complete integrability of nonlocal nonlinear Schrödinger equation
cites work: Q4002235
cites work: Darboux transforms for Davey-Stewartson equations and solitons in multidimensions
cites work: Darboux transformations for a two-dimensional Zakharov-Shabat/AKNS spectral problem
cites work: Darboux transformations for the Davey-Stewartson equations
cites work: Applications of Darboux transformations to the self-dual Yang-Mills equations
cites work: Dynamics of rogue waves in the Davey–Stewartson II equation
DOI: 10.1016/J.AML.2017.12.025
Recommended article: Darboux transformation and analytic solutions of the discrete \(\mathcal{PT}\)-symmetric nonlocal nonlinear Schrödinger equation
Recommended article: Dromion solutions of PT-symmetric \((x,y)\)-nonlocal Davey-Stewartson I equation
Recommended article: Reducing a generalized Davey-Stewartson system to a non-local nonlinear Schrödinger equation
Recommended article: The nth-Darboux transformation and explicit solutions of the PT-symmetry second-type derivative nonlinear Schrödinger equation
Recommended article: Three types of Darboux transformation and general soliton solutions for the space-shifted nonlocal \(\mathcal{PT}\) symmetric nonlinear Schrödinger equation
Recommended article: Darboux transformations for the Davey-Stewartson equations
Recommended article: Darboux transforms for Davey-Stewartson equations and solitons in multidimensions
Recommended article: \(P T\)-symmetric nonlocal Davey-Stewartson I equation: soliton solutions with nonzero background
Recommended article: Darboux transformations for the nonlinear Schrödinger equations
Recommended article: Darboux Transformations and Global Explicit Solutions for Nonlocal Davey–Stewartson I Equation
description: scientific article; zbMATH DE number 6891855