paper

On Whitham theory for perturbed integrable equations

arXiv:nlin/0302027 · doi:10.1016/j.physd.2003.07.008

Abstract

Whitham theory of modulations is developed for periodic waves described by nonlinear wave equations integrable by the inverse scattering transform method associated with matrix or second order scalar spectral problems. The theory is illustrated by derivation of the Whitham equations for perturbed Korteweg-de Vries equation and nonlinear Schrödinger equation with linear damping.

17 pages, no figures

On Whitham theory for perturbed integrable equations · wovepaper