Open AccessTraveling wave solutions to the Boussinesq equation via Sardar sub-equation technique
Author(s) -
Hamood-Ur-Rahman,
Muhammad Asjad,
Nayab Munawar,
Foroud Parvaneh,
Taseer Muhammad,
Ahmed A. Hamoud,
Homan Emadifar,
Faraidun K. Hamasalh,
Hooshmand Azizi,
Masoumeh Khademi
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022623
Subject(s) - soliton , partial differential equation , traveling wave , periodic wave , nonlinear system , physics , mathematical analysis , differential equation , mathematics , mathematical physics , quantum mechanics
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.