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On simple waves with profiles in the form of some special functions – Chebyshev-Hermite, Mathieu, Whittaker – in two-phase media. (English) Zbl 0961.74038
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).
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.
MSC:
74J35Solitary waves (solid mechanics)
74J30Nonlinear waves (solid mechanics)
74E05Inhomogeneity