Traveling wave solutions to the Boussinesq equation via Sardar sub-equation technique

Abstract

In present study, the Boussinesq equation is obtained by means of the Sardar Sub-Equation Technique (SSET) to create unique soliton solutions containing parameters. Using this technique, different solutions are obtained, such as the singular soliton, the dark-bright soliton, the bright soliton and the periodic soliton. The graphs of these solutions are plotted for a batter understanding of the model. The results show that the technique is very effective in solving nonlinear partial differential equations (PDEs) arising in mathematical physics.

Keywords

• boussinesq equation
• sardar sub-equation method
• traveling wave soliton solutions