On Whitham theory for perturbed integrable equations

نویسنده

  • A. M. Kamchatnov
چکیده

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

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تاریخ انتشار 2008