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Solutions of Some Wave Mechanics Models
- Authors: Kaptsov O.V.1, Kaptsov D.O.1
-
Affiliations:
- Institute of Computational Modelling SB RAS
- Issue: Vol 87, No 2 (2023)
- Pages: 176-185
- Section: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/138850
- DOI: https://doi.org/10.31857/S003282352302008X
- EDN: https://elibrary.ru/TZNDZR
- ID: 138850
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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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