\( \overline{\partial} \)-dressing method for the coupled Gerdjikov-Ivanov equation
type: Item
instance of: scholarly article
title: \( \overline{\partial} \)-dressing method for the coupled Gerdjikov-Ivanov equation
zbMATH Open document ID: 1451.35191
author: Jinghua Luo
author: En. Gui Fan
published in: Applied Mathematics Letters
publication date: 2020-10-08T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 37K35
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 7258378
zbMATH Keywords: coupled Gerdjikov-Ivanov equation
zbMATH Keywords: \( \overline{\partial} \)-dressing method
zbMATH Keywords: Lax pair
zbMATH Keywords: recursive operator
zbMATH Keywords: soliton solution
MaRDI profile type: Publication
full work available at URL: j.aml.2020.106589
OpenAlex ID: W3034803709
cites work: On the modulation of water waves in the neighbourhood of kh ≈ 1.363
cites work: THE NEW EXACT SOLUTIONS OF VARIANT TYPES OF TIME FRACTIONAL COUPLED SCHR&#214;DINGER EQUATIONS IN PLASMA PHYSICS
cites work: Exact solutions of the multidimensional derivative nonlinear Schrodinger equation for many-body systems of criticality
cites work: Bilinearization of a Generalized Derivative Nonlinear Schrödinger Equation
cites work: An exact solution for a derivative nonlinear Schrödinger equation
cites work: Generalization of the Kaup-Newell Inverse Scattering Formulation and Darboux Transformation
cites work: Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
cites work: Q3672402
cites work: A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations.
cites work: Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation
cites work: Variable separation and algebro-geometric solutions of the Gerdjikov-Ivanov equation
cites work: Algebro-geometric solutions for the Gerdjikov-Ivanov hierarchy
cites work: Bifurcations and new exact travelling wave solutions for the Gerdjikov-Ivanov equation
cites work: SOLUTIONS OF A DERIVATIVE NONLINEAR SCHRÖDINGER HIERARCHY AND ITS SIMILARITY REDUCTION
cites work: Trace formula and new form of \(N\)-soliton to the Gerdjikov-Ivanov equation
cites work: Q3175984
cites work: A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
cites work: The inverse scattering transform for the time-dependent Schrödinger equation and Kadomtsev-Petviashvili equation
cites work: The D-bar approach to inverse scattering and nonlinear evolutions
cites work: Q3931796
cites work: Construction of higher-dimensional nonlinear integrable systems and of their solutions
cites work: On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
cites work: Dromions and a boundary value problem for the Davey-Stewartson 1 equation
cites work: A dressing method in mathematical physics.
cites work: The dressing method and nonlocal Riemann-Hilbert problems
cites work: Inverse Spectral Transform for the Nonlinear Evolution Equation Generating the Davey-Stewartson and Ishimori Equations
cites work: The non-local delta problem and (2+1)-dimensional soliton equations
cites work: The AB equations and the \(\bar\partial\)-dressing method in semi-characteristic coordinates
cites work: A three-wave interaction model with self-consistent sources: the \(\overline{\partial}\)-dressing method and solutions
DOI: 10.1016/J.AML.2020.106589
description: scientific article; zbMATH DE number 7258378