Waves and Structures in the Boussinesq Equations
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 equatio...
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| Veröffentlicht in: | Journal of applied mechanics and technical physics 2019-03, Vol.60 (2), p.377-381 |
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| container_title | Journal of applied mechanics and technical physics |
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| creator | Kaptsov, O. V. Kaptsov, D. O. |
| description | 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. |
| doi_str_mv | 10.1134/S0021894419020184 |
| format | Article |
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| ispartof | Journal of applied mechanics and technical physics, 2019-03, Vol.60 (2), p.377-381 |
| issn | 0021-8944 1573-8620 |
| language | eng |
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| subjects | Applications of Mathematics Boussinesq equations Classical and Continuum Physics Classical Mechanics Construction Fluid- and Aerodynamics Gravitational waves Gravity waves Lattice theory Mathematical Modeling and Industrial Mathematics Mechanical Engineering Physics Physics and Astronomy Solitary waves Wave packets |
| title | Waves and Structures in the Boussinesq Equations |
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