Waves and Structures in the Boussinesq Equations

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
Hauptverfasser: Kaptsov, O. V., Kaptsov, D. O.
Format: Artikel
Sprache:eng
Schlagworte:
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
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Beschreibung
Zusammenfassung: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.
ISSN:0021-8944
1573-8620
DOI:10.1134/S0021894419020184