Perturbations of Solitons and Solitary Waves

Abstract

A direct perturbation method is developed to investigate the evolution of solitary waves in the presence of small perturbations. A uniformly valid first order solution is constructed. The method is applied to several nonlinear evolution equations which support solitons or solitary waves. Finally, the method is compared with other approaches in the literature.

Identifiers

DOI

10.1002/sapm1981643225

Citations and references