By Lev Ostrovsky
This e-book is an creation to the perturbation conception for linear and nonlinear waves in dispersive and dissipative media. the main target is at the direct asymptotic procedure that is in response to the asymptotic enlargement of the answer in sequence of 1 or extra small parameters and important finiteness of the perturbations; this leads to gradual edition of the main-order resolution. the tactic, 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 corresponding to solitons, kinks, and autowaves. the elemental theoretical principles are illustrated by means of many actual examples during the book.
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Asymptotic Perturbation Theory of Waves by Lev Ostrovsky