Solutions of Some Wave Mechanics Models-Reference-Cited by-同舟云学术

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Solutions of Some Wave Mechanics Models

Published:2023-03-01 Issue:2 Volume:87 Page:176-185
ISSN:0032-8235
Container-title:Прикладная математика и механика
language:
Short-container-title:Prikladnaâ matematika i mehanika

Author:

Kaptsov O. V.¹,Kaptsov D. O.¹

Affiliation:

1. Institute of Computational Modelling SB RAS

Abstract

We consider one-dimensional second order partial differential equations describing waves in inhomogeneous and nonlinear media. Contact transformations and Euler differential substitution are used to construct general solutions. General and partial solutions of some nonstationary continuum mechanics models are found.

Publisher

The Russian Academy of Sciences

Reference22 articles.

1. Brekhovskikh L.M. Waves in Layered Media. Moscow: Nauka, 1973. (in Russian)

2. Kulikovskii A.G., Sveshnikova Elena I. Nonlinear Waves in Elastic Media. Boca Raton. CRC Press, 1995.

3. Ovsyannikov L.V. Lectures on Basic Gas Dynamics., Moscow; Izhevsk: Inst. Comput. Sci., 2003. (in Russian)

4. Rabotnov Yu.N. Elements of Hereditary Mechanics of Solids. Moscow: Nauka, 1977. (in Russian)

5. Ovsyannikov L.V. Group analysis of differential equations. Moscow: Nauka, 1978. (in Russian)

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