By Lev Ostrovsky
This ebook 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 accordance with 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 resolution. the tactic, which doesn't rely on integrability of easy equations, is utilized to quasi-harmonic and non-harmonic periodic waves, in addition to to localized waves reminiscent of solitons, kinks, and autowaves. the elemental theoretical principles are illustrated via many actual examples through the book.
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Asymptotic Perturbation Theory of Waves by Lev Ostrovsky