Multisoliton solutions of the two-component Camassa-Holm equation and its reductions

DOI10.1134/s0040577923030029zbMath1516.35362OpenAlexW4327946479MaRDI QIDQ6103261

Publication date: 2 June 2023

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577923030029

zbMATH Keywords

reduction soliton Bäcklund transformation two-component Camassa-Holm equation two-component Hunter-Saxton equation

Mathematics Subject Classification ID

Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Cites Work

Unnamed Item
Unnamed Item
Solitary wave solutions of the generalized two-component Hunter-Saxton system
Wave breaking and global existence for the generalized periodic two-component Hunter-Saxton system
Single peak solitary wave and compacton solutions of the generalized two-component Hunter-Saxton system
Bäcklund transformations for the Camassa-Holm equation
Deformations of semisimple bihamiltonian structures of hydrodynamic type
On an integrable two-component Camassa-Holm shallow water system
Global weak solutions for a periodic two-component \(\mu \)-Hunter-Saxton system
Hamiltonian structures and their reciprocal transformations for the \(r\)-KdV-CH hierarchy
On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
On a class of physically important integrable equations
Symplectic structures, their Bäcklund transformations and hereditary symmetries
Acoustic scattering and the extended Korteweg-de Vries hierarchy
The Camassa-Holm equation: a loop group approach
Stability of the Camassa-Holm solitons
The two-component camassa-holm equation with self-consistent sources and its multisoliton solutions
Multi-soliton solution to the two-component Hunter-Saxton equation
Bäcklund transformations for the Degasperis-Procesi equation
A two-component generalization of the Camassa-Holm equation and its solutions
On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation
Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
Bifurcations of travelling wave solutions for a two-component Camassa-Holm equation
On the scattering problem for the Camassa-Holm equation
Darboux transformation and multi-soliton solutions of the Camassa-Holm equation and modified Camassa-Holm equation
Global weak solutions and smooth solutions for a two-component Hunter-Saxton system
Two-component CH system: inverse scattering, peakons and geometry
The multiple-soliton solution of the Camassa-Holm equation
On the Camassa-Holm equation and a direct method of solution I. Bilinear form and solitary waves
Well-posedness and blow-up phenomena for a periodic two-component Camassa–Holm equation
On a Camassa–Holm type equation with two dependent variables
On negative flows of the AKNS hierarchy and a class of deformations of a bihamiltonian structure of hydrodynamic type
Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
On solutions of the two-component Camassa-Holm system
On Solutions to a Two-Component Generalized Camassa-Holm Equation
A two-component μ-Hunter–Saxton equation
Dynamics of Director Fields
Microstructure evolution in an interstitial-free steel during cold rolling at low strain levels
Stability of peakons
An integrable shallow water equation with peaked solitons
The Gurevich–Zybin system
The short pulse equation: Bäcklund transformations and applications
Zero curvature formulations of dual hierarchies
A new two-component integrable system with peakon solutions
Multisoliton solutions of the two-component Camassa–Holm system and their reductions
Peakon, pseudo-peakon, and cuspon solutions for two generalized Camassa-Holm equations
On the Camassa–Holm equation and a direct method of solution. II. Soliton solutions
Parametric Representation for the Multisoliton Solution of the Camassa–Holm Equation
The modified Camassa–Holm equation: Bäcklund transformation and nonlinear superposition formula

This page was built for publication: Multisoliton solutions of the two-component Camassa-Holm equation and its reductions