By Lev Ostrovsky
This publication is an advent to the perturbation idea for linear and nonlinear waves in dispersive and dissipative media. the focus is at the direct asymptotic strategy that's 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 depend upon integrability of uncomplicated equations, is utilized to quasi-harmonic and non-harmonic periodic waves, in addition to to localized waves corresponding to solitons, kinks, and autowaves. the fundamental theoretical principles are illustrated through many actual examples during the book.
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Asymptotic Perturbation Theory of Waves by Lev Ostrovsky