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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2016 Volume 13, Pages 300–304 (Mi semr673)

Differentical equations, dynamical systems and optimal control

Singular solutions of one-dimensional SH wave equation in porous media

A. E. Kholmurodov, G. Toshmurodova

Karshi State University, Karshi city, street Kuchabag-17, 180100, Republic of Uzbekistan, Kashkadarya region

Abstract: Singular solutions of the IS equation for SH waves in an elasticporous medium are obtained. For expansion coefficients of wave fields a system of Volterra integral equations of the second kind are obtained. It is shwn that at vanishing of proposity these coefficients are transformed into well known expressions for the coefficients of expansion of wave fields for an elastic model.

Keywords: hyperbolic system, the porous medium, SH waves, the friction coefficient.

UDC: 550.344

MSC: 35Q99

Received March 28, 2016, published May 4, 2016

DOI: 10.17377/semi.2016.13.024



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