Abstract

Nonlinear Acoustic Waves Description by Exact Solutions of Modulation Equations

A.Porubov (A.F. Ioffe Physical Technical Institute, Saint-Petersburg, Russia)

e-mail: porubov@math.ioffe.rssi.ru

Exact solutions of some nonlinear modulation equations (Nonlinear Schrodinger equation, Coupled Schrodinger equations, Ginzburg-Landau equation) are obtained in an explicit form. They may account for the wave profiles different from usual travelling solitary waves or cnoidal waves. The modulation equations govern finite-amplitude acoustic waves evolution in various wave-guides, in particular, in layered media. The profiles of their exact solutions are very similar to that observed recently in experiments [1,2]. Also the pulse solution of the Ginzburg-Landau equation may exhibit breather-like behavior. This research has been supported by the INTAS under Grant 99-0167 References. 1. V.I. Nayanov. JETF Lett. V. 44, 314 (1986). 2. Y.Cho, N. Miyagawa. Appl.Phys.Lett. V. 63, 1188 (1993).

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