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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.

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Funding

The work was supported by the Krasnoyarsk Mathematical Center, funded by the Ministry of Science and Higher Education of the Russian Federation as part of activities for the creation and development of regional scientific and scientific centers (agreement 075-02-2022-873).

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Authors and Affiliations

  1. Institute of Computational Modelling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, Russia

    O. V. Kaptsov & D. O. Kaptsov

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  1. O. V. Kaptsov
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  2. D. O. Kaptsov
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Correspondence to O. V. Kaptsov or D. O. Kaptsov.

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Kaptsov, O.V., Kaptsov, D.O. Solutions of Some Wave Mechanics Models. Fluid Dyn 58, 1227–1234 (2023). https://doi.org/10.1134/S001546282360219X

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  • DOI: https://doi.org/10.1134/S001546282360219X

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