Solitary waves, shock waves and conservation laws with the surface tension effect in the Boussinesq equation

Solitary waves, shock waves and conservation laws with the surface tension effect in the Boussinesq equation

This paper secures solitary waves, shock waves and singular solitary waves for the Boussinesq equation, which is studied with the inclusion of surface tension. The method of undetermined coefficients has yielded such waves. The Lie symmetry analysis has introduced a fresh perspective to the model. C...

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Veröffentlicht in:Proceedings of the Estonian Academy of Sciences 2023-01, Vol.72 (1), p.17-29
Hauptverfasser: Biswas, Anjan, Vega-Guzman, Jose, Bansal, Anupma, Kara, Abdul H, Aphane, Maggie, Yildirim, Yakup, Alshehri, Hashim M
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applied mathematics
Boussinesq equations
Conservation laws
Conservation laws (Physics)
Equations
lie symmetry
Ordinary differential equations
Shock waves
Solitary waves
Solitons
Surface tension
Symmetry
Velocity
Water waves
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Beschreibung
Zusammenfassung:This paper secures solitary waves, shock waves and singular solitary waves for the Boussinesq equation, which is studied with the inclusion of surface tension. The method of undetermined coefficients has yielded such waves. The Lie symmetry analysis has introduced a fresh perspective to the model. Conserved densities and corresponding conserved quantities are computed using the multiplier approach.
ISSN:1736-6046
1736-7530
DOI:10.3176/proc.2023.1.03