Overcoming Obstacles to Integrability in Perturbed Nonlinear Evolution Equations
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
Obstacles to integrability in perturbed evolution equations are overcome by allowing higher-order terms in the expansion of the solution to depend explicitly on time and position. With a special expansion algorithm, obstacles vanish explicitly for single-waves zero-order approximations, and exponentially, outside the wave interaction-region, for multiple-waves. Simple expressions for their asymptotic effects on the solution are obtained.
Cite
@article{arxiv.nlin/0311053,
title = {Overcoming Obstacles to Integrability in Perturbed Nonlinear Evolution Equations},
author = {Alex Veksler and yair zarmi},
journal= {arXiv preprint arXiv:nlin/0311053},
year = {2007}
}