Lev Ostrovsky's Asymptotic Perturbation Theory of Waves PDF

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By Lev Ostrovsky

This e-book is an advent to the perturbation idea for linear and nonlinear waves in dispersive and dissipative media. the main target is at the direct asymptotic process that's 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 sluggish edition of the main-order resolution. the strategy, which doesn't depend upon integrability of easy equations, is utilized to quasi-harmonic and non-harmonic periodic waves, in addition to to localized waves comparable to solitons, kinks, and autowaves. the fundamental theoretical principles are illustrated by way of many actual examples in the course of the book.

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