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Nonlinear Magnetoelastic Waves in a Plate

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Shell-like Structures

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 15))

Abstract

We consider an elastic plate made of conductive material in an external magnetic field. It is shown that the distribution of intense waves in such a system can be described by nonlinear evolution equations, combining the well-known Khokhlov–Zabolotskaya–Kuznetsov and Kodomtsev–Petviashvili model equations. The features of the propagation of two-dimensional nonlinear magnetoelastic waves are analytically and numerically analyzed.

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Correspondence to Vladimir I. Erofeev .

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Erofeev, V.I., Malkhanov, A.O., Zemlyanukhin, A.I., Catson, V.M. (2011). Nonlinear Magnetoelastic Waves in a Plate. In: Altenbach, H., Eremeyev, V. (eds) Shell-like Structures. Advanced Structured Materials, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21855-2_10

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