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- Title
Solitary waves, shock waves and conservation laws with the surface tension effect in the Boussinesq equation.
- Authors
Biswas, Anjan; Vega-Guzman, Jose; Bansal, Anupma; Kara, Abdul H.; Aphane, Maggie; Yıldırım, Yakup; Alshehri, Hashim M.
- Abstract
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.
- Subjects
BOUSSINESQ equations; CONSERVATION laws (Physics); CONSERVED quantity; WAVE equation
- Publication
Proceedings of the Estonian Academy of Sciences, 2023, Vol 72, Issue 1, p17
- ISSN
1736-6046
- Publication type
Article
- DOI
10.3176/proc.2023.1.03