By Lev Ostrovsky
This e-book is an advent to the perturbation conception for linear and nonlinear waves in dispersive and dissipative media. the main target is at the direct asymptotic strategy that is in accordance with the asymptotic growth of the answer in sequence of 1 or extra small parameters and critical finiteness of the perturbations; this ends up in gradual edition of the main-order resolution. the tactic, which doesn't rely on integrability of uncomplicated equations, is utilized to quasi-harmonic and non-harmonic periodic waves, in addition to to localized waves akin to solitons, kinks, and autowaves. the elemental theoretical rules are illustrated by way of many actual examples through the book.
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Asymptotic Perturbation Theory of Waves by Lev Ostrovsky