Letter to the Editor on a shallow water wave equation in Results Phys. 43, 106048 (2022) and its generalization

Abstract

Results Phys. 43, 106048 (2022) has amusingly retrieved some solitonic and other analytic solutions for a shallow water wave equation presented there. In this Letter, we suggest that such an equation be moreover studied in line with Results Phys. 43, 106048 (2022). Employing symbolic computation, for a generalization of that equation, with respect to the displacement and velocity of the water, we construct a family of the similarity reductions, to a known ordinary differential equation. Our results depend on the gravitational force and wave height.

Keywords

• Generalized shallow water wave equation
• Similarity reductions
• Symbolic computation