Email this article Waves and Structures in the Boussinesq Equations
- Authors: Kaptsov O.V.1, Kaptsov D.O.1
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Affiliations:
- Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences
- Issue: Vol 60, No 2 (2019)
- Pages: 377-381
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/161508
- DOI: https://doi.org/10.1134/S0021894419020184
- ID: 161508
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Abstract
The classical Boussinesq equation describing gravity waves in shallow waters is under consideration. Hirota’s bilinear representation is used to construct exact solutions describing wave packets, waves on solitons, and “dancing” waves. The principle of multiplying the solutions of the Hirota equation is formulated, which helps constructing more complex structures made of solitons, wave packets, and other types of waves.
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About the authors
O. V. Kaptsov
Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences
Author for correspondence.
Email: kaptsov@icm.krasn.ru
Russian Federation, Krasnoyarsk, 660036
D. O. Kaptsov
Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences
Author for correspondence.
Email: hot.dok@gmail.com
Russian Federation, Krasnoyarsk, 660036
