By Lev Ostrovsky
This ebook is an advent to the perturbation concept for linear and nonlinear waves in dispersive and dissipative media. the focus is at the direct asymptotic strategy that is in keeping with 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 edition of the main-order resolution. the strategy, which doesn't rely on integrability of simple 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 rules are illustrated via many actual examples in the course of the book.
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Asymptotic Perturbation Theory of Waves by Lev Ostrovsky