The multiple-soliton solution of the Camassa-Holm equation

From MaRDI portal
Publication:3024571

DOI10.1098/rspa.2004.1331zbMath1068.35109OpenAlexW2009336296MaRDI QIDQ3024571

Jin E. Zhang, Yi-Shen Li

Publication date: 1 July 2005

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2004.1331



Related Items

Nonlocal symmetries and Darboux transformations of the Camassa–Holm equation and modified Camassa–Holm equation revisited, On solutions of the two-component Camassa-Holm system, Four types of bounded wave solutions of CH-\(\gamma\) equation, Hamiltonian structures and their reciprocal transformations for the \(r\)-KdV-CH hierarchy, Water waves and integrability, Cusped solitons of the Camassa-Holm equation. II. Binary cuspon-soliton interactions, A model containing both the Camassa-Holm and Degasperis-Procesi equations, New travelling wave solutions for a nonlinearly dispersive wave equation of Camassa-Holm equation type, A three-component generalization of Camassa-Holm equation with \(N\)-peakon solutions, Coupled Camassa-Holm equations, \(N\)-peakons and infinitely many conservation laws, Some Water Wave Equations and Integrability, Smooth multisoliton solutions of a 2-component peakon system with cubic nonlinearity, Fokas-Lenells equation: three types of Darboux transformation and multi-soliton solutions, New integrable peakon equation and its dynamic system, Multisoliton solutions of the two-component Camassa-Holm equation and its reductions, Dissipative prolongations of the multipeakon solutions to the Camassa-Holm equation, Multisoliton solutions of the Degasperis-Procesi equation and its shortwave limit: Darboux transformation approach, The Cauchy problem of the Camassa-Holm equation in a weighted Sobolev space: long-time and Painlevé asymptotics, A new 3-component Degasperis-Procesi hierarchy, Integrable generalization of the modified Camassa-Holm equation in \(2 + 1\) dimensions, A generalized super Camassa-Holm equation, A two-component generalization of the Camassa-Holm equation and its solutions, An integrable system with peakon, complex peakon, weak kink, and kink-peakon interactional solutions, The two-component camassa-holm equation with self-consistent sources and its multisoliton solutions, Parametric multi-soliton solutions of a generalized Harry-Dym type equation, Soliton solutions to the Novikov equation and a negative flow of the Novikov hierarchy, The multi-soliton solutions of the CH-\(\gamma\) equation, Solutions of two nonlinear evolution equations using Lie symmetry and simplest equation methods, Multi-soliton solutions of a two-component Camassa–Holm system: Darboux transformation approach, Obtaining multisoliton solutions of the \((2+1)\)-dimensional Camassa-Holm system using Darboux transformations, Two super Camassa–Holm equations: Reciprocal transformations and applications, The integral bifurcation method and its application for solving a family of third-order dispersive PDEs, Wave dynamics for peaked solitons of the Camassa-Holm equation, Cusped solitons of the Camassa-Holm equation. I: Cuspon solitary wave and antipeakon limit, Bäcklund transformations for the Camassa-Holm equation, A Super Camassa–Holm Equation with N‐Peakon Solutions, Initial-boundary value problem for the Camassa-Holm equation with linearizable boundary condition, Reciprocal Transformations of Two Camassa–Holm Type Equations, A generalized auxiliary equation method and its application to nonlinear Klein-Gordon and generalized nonlinear Camassa-Holm equations, On the Camassa–Holm equation and a direct method of solution. II. Soliton solutions, On the Camassa–Holm equation and a direct method of solution. III. N -soliton solutions, A self-adaptive moving mesh method for the Camassa-Holm equation, On an inverse scattering algorithm for the Camassa-Holm equation, Camassa-Holm cuspons, solitons and their interactions via the dressing method, The general peakon–antipeakon solution for the Camassa–Holm equation, Bi-Hamiltonian Structure of a Three-Component Camassa-Holm Type Equation, Bi-Hamiltonian structure of multi-component Novikov equation, On a spectral analysis of scattering data for the Camassa-Holm equation, Reciprocal link for a three-component Camassa-Holm type equation, Darboux transformation and multi-soliton solutions of the Camassa-Holm equation and modified Camassa-Holm equation, Long-time asymptotic solution structure of Camassa-Holm equation subject to an initial condition with non-zero reflection coefficient of the scattering data, Bifurcations and exact bounded travelling wave solutions for a partial differential equation, Darboux transformations of the Camassa-Holm type systems, Stability of smooth multi-solitons for the Camassa-Holm equation