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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.
Received March 28, 2016, published May 4, 2016
Citation:
A. E. Kholmurodov, G. Toshmurodova, “Singular solutions of one-dimensional SH wave equation in porous media”, Sib. Èlektron. Mat. Izv., 13 (2016), 300–304
Linking options:
https://www.mathnet.ru/eng/semr673 https://www.mathnet.ru/eng/semr/v13/p300
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