This article is cited in 1 paper

Geveralized functionally-invariant nonhomogeneous wave equation

Yu. V. Shan'ko

Institute of Computational Modeling of the SDRAS, Krasnoyarsk, Russia

Abstract: We suggest a definition of generalized functionally invariant solutions of class $N$ of differential equations for sound propagation in a two-dimensional stationary inhomogeneous medium. The conditions are studied on functions of the density and speed of sound under which there are generalized functionally invariant solutions of class 2. The method is presented for constructing exact generalized functionally invariant solutions.

Keywords: inhomogeneous wave equation, generalized functionally invariant solutions, exact solutions.

UDC: 517.956

Received: 28.01.2013

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