Solutions of Some Wave Mechanics Models

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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.

About the authors

O. V. Kaptsov

Institute of Computational Modelling SB RAS

Author for correspondence.
Email: kaptsov@icm.krasn.ru
Russia, Krasnoyarsk

D. O. Kaptsov

Institute of Computational Modelling SB RAS

Author for correspondence.
Email: hot.dok@gmail.com
Russia, Krasnoyarsk

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