Analytic solitary waves of nonintegrable equations
Pattern Formation and Solitons
2009-11-10 v1 Chaotic Dynamics
Exactly Solvable and Integrable Systems
Abstract
Even if it is nonintegrable, a differential equation may nevertheless admit particular solutions which are globally analytic. On the example of the dynamical system of Kuramoto and Sivashinsky, which is generically chaotic and presents a high physical interest, we review various methods, all based on the structure of singularities, allowing us to characterize the analytic solution which depends on the largest possible number of constants of integration.
Keywords
Cite
@article{arxiv.nlin/0302051,
title = {Analytic solitary waves of nonintegrable equations},
author = {M. Musette and R. Conte},
journal= {arXiv preprint arXiv:nlin/0302051},
year = {2009}
}
Comments
LaTex 2e. To appear, Physica D