Darboux transformations of the Camassa-Holm type systems
type: Item
instance of: scholarly article
title: Darboux transformations of the Camassa-Holm type systems
zbMATH Open document ID: 1498.37108
author: Shilong Huang
author: Hong-Min Li
published in: Chaos, Solitons and Fractals
publication date: 2022-11-18T00:00:00Z
Mathematics Subject Classification ID: 37K35
Mathematics Subject Classification ID: 35Q51
zbMATH DE Number: 7620203
zbMATH Keywords: Camassa-Holm equation
zbMATH Keywords: reciprocal transformation
zbMATH Keywords: Darboux transformation
MaRDI profile type: Publication
full work available at URL: j.chaos.2022.111910
OpenAlex ID: W4212878767
cites work: An integrable shallow water equation with peaked solitons
cites work: Q4311808
cites work: On the inverse spectral problem for the Camassa-Holm equation
cites work: Inverse scattering transform for the Camassa–Holm equation
cites work: Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
cites work: Prolongation algebras and Hamiltonian operators for peakon equations
cites work: The multiple-soliton solution of the Camassa-Holm equation
cites work: Darboux transformation and multi-soliton solutions of the Camassa-Holm equation and modified Camassa-Holm equation
cites work: Bäcklund transformations for the Camassa-Holm equation
cites work: Zero curvature formulations of dual hierarchies
cites work: A new integrable equation with cuspons and W/M-shape-peaks solitons
cites work: Integrable peakon equations with cubic nonlinearity
cites work: A two-component generalization of the Camassa-Holm equation and its solutions
cites work: On negative flows of the AKNS hierarchy and a class of deformations of a bihamiltonian structure of hydrodynamic type
cites work: On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation
cites work: Multi-soliton solutions of a two-component Camassa–Holm system: Darboux transformation approach
cites work: The modified Camassa–Holm equation: Bäcklund transformation and nonlinear superposition formula
cites work: On solutions of the two-component Camassa-Holm system
cites work: Reciprocal link for a coupled Camassa-Holm type equation
cites work: A four-component Camassa-Holm type hierarchy
cites work: Q4508328
cites work: Generalizations of the Camassa–Holm equation
cites work: Multisoliton solutions of the Degasperis-Procesi equation and its shortwave limit: Darboux transformation approach
cites work: Soliton solutions to the Novikov equation and a negative flow of the Novikov hierarchy
cites work: Bäcklund transformations for the Degasperis-Procesi equation
cites work: Novikov equation: Bäcklund transformation and applications
cites work: The Camassa-Holm equation: a loop group approach
cites work: Coupled Harry Dym equations with multi-Hamiltonian structures
DOI: 10.1016/J.CHAOS.2022.111910
description: scientific article; zbMATH DE number 7620203