Research articles

search articles

My Pages

Stat

Members: 3645
Articles: 2'506'133
Articles rated: 2609

27 April 2024

» arxiv » nlin.CD/0203007

Article overview

Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary pde
Darryl D. Holm ; Martin F. Staley ;
Date:	6 Mar 2002
Subject:	Chaotic Dynamics; Pattern Formation and Solitons \| nlin.CD nlin.PS
Abstract:	We study exchange of stability in the dynamics of solitary wave solutions under changes in the nonlinear balance in a 1+1 evolutionary partial differential equation related both to shallow water waves and to turbulence. We find that solutions of the equation $ m_t + um_x +b u_xm = u m_{xx} $ with $m = u - alpha^2 u_{xx}$ for fluid velocity $u(x,t)$ change their behavior at the special values $b=0,pm1,pm2,pm3$.
Source:	arXiv, nlin.CD/0203007
Services:	Forum \| Review \| PDF \| Favorites

No review found.

Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)

ScienXe.org
» my Online CV
» Free

News, job offers and information for researchers and scientists:

home

contact

sitemap