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Zbl 0961.74038
Rushchitsky, Jarema; Rushchitska, Svitlana
On simple waves with profiles in the form of some special functions -- Chebyshev-Hermite, Mathieu, Whittaker -- in two-phase media. (English)
[A] Adamyan, V. M. (ed.) et al., Differential operators and related topics. Proceedings of the Mark Krein international conference on operator theory and applications, Odessa, Ukraine, August 18-22, 1997. Volume I. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 117, 313-322 (2000). ISBN 3-7643-6287-1/hbk

As is well known, M. G. Krein was always interested in new problems in mathematical physics. Some of his results can be directly applied to such problems. In their lecture, the authors formulate a new related problem from the general wave theory. The lecture deals with simple solitary waves in materials, with their existence and description.
[Fuhua Ling (Milpitas)]

MSC 2000:: *74J35 Solitary waves
74J30 Nonlinear waves
74E05 Inhomogeneity

Keywords: simple solitary waves; two-phase media; special functions; existence

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