On Whitham theory for perturbed integrable equations

Details On Whitham theory for perturbed integrable equations On Whitham theory for perturbed integrable equations

2003-02-12

arxiv.org/abs/nlin/0302027v1

Physica D 188, 247-261 (2004)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages, no figures

Scientific paper

10.1016/j.physd.2003.07.008

Whitham theory of modulations is developed for periodic waves described by nonlinear wave equations integrable by the inverse scattering transform method associated with $2\times2$ 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.

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