Solitary and periodic wave solutions of (2+1)-dimensions of dispersive long wave equations on shallow waters

In this investigation, the (2+1)-dimensions of dispersive long wave equations on shallow waters which are called Wu-Zhang (WZ) equations are studied by using symmetry analysis. The system of partial differential equations are reduced to the type of system of ordinary differential equations. The exact solutions of ordinary differential equations are obtained by the general Kudryashov method [2]. Exact solutions including singular wave, kink wave and anti-kink wave are shown. Some figures are given to show the properties of the solutions. (c) 2021 Shanghai Jiaotong University. Published by Elsevier B.V. This is an access article under the CC BY-NC-ND license

Automated summary

In this study, the (2+1)-dimensions of dispersive long wave equations on shallow waters, known as the Wu-Zhang (WZ) equations, were investigated using symmetry analysis. The system of partial differential equations was reduced to ordinary differential equations, and exact solutions including singular wave, kink wave, and anti-kink wave were obtained using the general Kudryashov method [2]. Figures were provided to demonstrate the properties of the solutions.