By Lev Ostrovsky
This booklet is an creation to the perturbation concept for linear and nonlinear waves in dispersive and dissipative media. the focus is at the direct asymptotic technique that is in response to the asymptotic enlargement of the answer in sequence of 1 or extra small parameters and critical finiteness of the perturbations; this ends up in sluggish edition of the main-order answer. 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 reminiscent of solitons, kinks, and autowaves. the fundamental theoretical rules are illustrated via many actual examples during the book.
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Asymptotic Perturbation Theory of Waves by Lev Ostrovsky