On Whitham theory for perturbed integrable equations
可精确求解与可积系统
2007-05-23 v1 斑图形成与孤子
摘要
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.
引用
@article{arxiv.nlin/0302027,
title = {On Whitham theory for perturbed integrable equations},
author = {A. M. Kamchatnov},
journal= {arXiv preprint arXiv:nlin/0302027},
year = {2007}
}
备注
17 pages, no figures