Parametric Representation for the Multisoliton Solution of the Camassa–Holm Equation
From MaRDI portal
Publication:5695258
DOI10.1143/JPSJ.74.1983zbMath1076.35102arXivnlin/0504055MaRDI QIDQ5695258
Publication date: 11 October 2005
Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0504055
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51)
Related Items
Nonlocal symmetries and Darboux transformations of the Camassa–Holm equation and modified Camassa–Holm equation revisited ⋮ Riemann-Hilbert approach for the Camassa-Holm equation on the line ⋮ Cusped solitons of the Camassa-Holm equation. II. Binary cuspon-soliton interactions ⋮ A model containing both the Camassa-Holm and Degasperis-Procesi equations ⋮ A three-component generalization of Camassa-Holm equation with \(N\)-peakon solutions ⋮ Coupled Camassa-Holm equations, \(N\)-peakons and infinitely many conservation laws ⋮ Multisoliton solutions of the two-component Camassa-Holm equation and its reductions ⋮ 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 ⋮ Multisoliton solutions of the two-component Camassa–Holm system and their reductions ⋮ Multi-soliton solutions of a two-component Camassa–Holm system: Darboux transformation approach ⋮ Two super Camassa–Holm equations: Reciprocal transformations and applications ⋮ Cusp and loop soliton solutions of short-wave models for the Camassa-Holm and Degasperis-Procesi equations ⋮ Bäcklund transformation and smooth multisoliton solutions for a modified Camassa-Holm equation with cubic nonlinearity ⋮ 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 ⋮ Long time asymptotics of the Camassa-Holm equation on the half-line ⋮ Initial-boundary value problem for the Camassa-Holm equation with linearizable boundary condition ⋮ A generalized auxiliary equation method and its application to nonlinear Klein-Gordon and generalized nonlinear Camassa-Holm equations ⋮ A self-adaptive moving mesh method for the Camassa-Holm equation ⋮ Remarks on certain two-component systems with peakon solutions ⋮ Camassa-Holm cuspons, solitons and their interactions via the dressing method ⋮ A four component cubic peakon (4CH) equation ⋮ Bi-Hamiltonian Structure of a Three-Component Camassa-Holm Type Equation ⋮ Reciprocal link for a three-component Camassa-Holm type equation ⋮ A view of the peakon world through the lens of approximation theory ⋮ Periodic solutions of the short pulse model equation ⋮ The Cauchy problem for a dissipative periodic 2-component Degasperis-Procesi system ⋮ Stability of smooth multi-solitons for the Camassa-Holm equation ⋮ Reciprocal transformations of generalized negative flows in integrable hierarchies
