Cusped and smooth solitons for the generalized Camassa-Holm equation on the nonzero constant pedestal
type: Item
instance of: scholarly article
title: Cusped and smooth solitons for the generalized Camassa-Holm equation on the nonzero constant pedestal
zbMATH Open document ID: 1468.35171
DOI: 10.1155/2014/423063
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We investigate the traveling solitary wave solutions of the generalized Camassa-Holm equation \(u_t - u_{x x t} + 3 u^2 u_x = 2 u_x u_{x x} + u u_{x x x}\) on the nonzero constant pedestal \(\lim_{\xi \rightarrow \pm \infty} u \left(\xi\right) = A\). Our procedure shows that the generalized Camassa-Holm equation with nonzero constant boundary has cusped and smooth soliton solutions. Mathematical analysis and numerical simulations are provided for these traveling soliton solutions of the generalized Camassa-Holm equation. Some exact explicit solutions are obtained. We show some graphs to explain our these solutions.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 7022362
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/423063
OpenAlex ID: W1999374357
Wikidata QID: Q59037866
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description: scientific article; zbMATH DE number 7022362