On Whitham theory for perturbed integrable equations
Exactly Solvable and Integrable Systems
2007-05-23 v1 Pattern Formation and Solitons
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 Schr\"odinger equation with linear damping.
Cite
@article{arxiv.nlin/0302027,
title = {On Whitham theory for perturbed integrable equations},
author = {A. M. Kamchatnov},
journal= {arXiv preprint arXiv:nlin/0302027},
year = {2007}
}
Comments
17 pages, no figures