ESTONIAN ACADEMY
PUBLISHERS
eesti teaduste
akadeemia kirjastus
PUBLISHED
SINCE 1952
 
Proceeding cover
proceedings
of the estonian academy of sciences
ISSN 1736-7530 (Electronic)
ISSN 1736-6046 (Print)
Impact Factor (2022): 0.9
Research article
Solitary waves, shock waves and conservation laws with the surface tension effect in the Boussinesq equation; pp. 17–29
PDF | https://doi.org/10.3176/proc.2023.1.03

Authors
Anjan Biswas, Jose Vega-Guzman, Anupma Bansal, Abdul H. Kara, Maggie Aphane, Yakup Yıldırım, Hashim M. Alshehri
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.

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