Traveling wave solutions to the Boussinesq equation via Sardar sub-equation technique
Hamood-Ur-Rahman, Muhammad Imran Asjad, Nayab Munawar, Foroud Parvaneh, Taseer Muhammad, Ahmed A. Hamoud, Homan Emadifar, Faraidun K. Hamasalh, Hooshmand Azizi, Masoumeh Khademi
Abstract
<abstract><p>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.</p></abstract>