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.
|Number of pages||13|
|Journal||Proceedings of the Estonian Academy of Sciences|
|Publication status||Published - 2023|
- Lie symmetry
- conservation laws
- solitary waves
- surface tension