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This article is cited in 2 scientific papers (total in 2 papers)
Waves and structures in the Boussinesq equations
O. V. Kaptsov, D. O. Kaptsov Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660036, Russia
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.
Keywords:
gravity waves, wave packets, solitons.
Received: 18.07.2018 Revised: 18.07.2018 Accepted: 30.07.2018
Citation:
O. V. Kaptsov, D. O. Kaptsov, “Waves and structures in the Boussinesq equations”, Prikl. Mekh. Tekh. Fiz., 60:2 (2019), 220–225; J. Appl. Mech. Tech. Phys., 60:2 (2019), 377–381
Linking options:
https://www.mathnet.ru/eng/pmtf472 https://www.mathnet.ru/eng/pmtf/v60/i2/p220
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Abstract page: | 46 | Full-text PDF : | 11 |
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