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
Keywords: гравитационные волны, волновые пакеты, солитоны, gravity waves, wave packets, solitons
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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