Nonlinear surface and wedge acoustic waves in the presence of weak dispersion

Авторы: Mayer Andreas P., Garova Elena A., Mozhaev Vladimir G.
Журнал: Proceedings of the Estonian Academy of Sciences
Том: 46
Номер: 1-2
Год издания: 1997
Издательство: Estonian Academy Publishers
Местоположение издательства: Estonia
Первая страница: 85
Последняя страница: 93
Аннотация: The authors consider the evolution equation governing the nonlinear weakly dispersive Rayleigh waves. Applying a method used by D. F. Parker and F. M. Talbot [J. Elasticity 15, 389-426 (1985; Zbl 0587.73032)] for the nondispersive case to this evolution equation, the authors compute stationary solutions which can be regarded as analogues of cnoidal-wave solutions of the Korteweg-de Vries equation. Some numerical results on stationary nonlinear waveforms in the presence and absence of weak dispersion are presented, and a discussion is given of the evolution equation for nonlinear flexural wedge waves and of special properties of nonlinear coupling coefficients occurring in this equation and their implication for nonlinear waves solutions.
Добавил в систему: Можаев Владимир Геннадиевич

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