Geodesic
Geveralized functionally-invariant nonhomogeneous wave equation
Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 1, pp. 126-137

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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
Mots-clés : exact solutions. 
@article{SJIM_2013_16_1_a12,
     author = {Yu. V. Shan'ko},
     title = {Geveralized functionally-invariant nonhomogeneous wave equation},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {126--137},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2013_16_1_a12/}
}
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Yu. V. Shan'ko. Geveralized functionally-invariant nonhomogeneous wave equation. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 1, pp. 126-137. http://geodesic.mathdoc.fr/item/SJIM_2013_16_1_a12/