By Lev Ostrovsky
This ebook is an creation to the perturbation idea for linear and nonlinear waves in dispersive and dissipative media. the focus is at the direct asymptotic strategy that is according to the asymptotic growth of the answer in sequence of 1 or extra small parameters and significant finiteness of the perturbations; this ends up in gradual version of the main-order resolution. the strategy, which doesn't depend upon integrability of uncomplicated equations, is utilized to quasi-harmonic and non-harmonic periodic waves, in addition to to localized waves equivalent to solitons, kinks, and autowaves. the elemental theoretical principles are illustrated by means of many actual examples in the course of the book.
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Asymptotic Perturbation Theory of Waves by Lev Ostrovsky