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

Hamood-Ur-Rahman Hamood-Ur-Rahman,Hooshmand Azizi,Muhammad Imran Asjad,Masoumeh Khademi,Nayab Munawar,Homan Emadifar,Taseer Muhammad,Ahmed A Hamoud,Faraidun K Hamasalh,Foroud Parvaneh

doi:10.3934/math.2022623

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

Hamood-Ur-Rahman Hamood-Ur-Rahman, Hooshmand Azizi + Show 8 more

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https://doi.org/10.3934/math.2022623

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Journal: AIMS Mathematics	Publication Date: Jan 1, 2022
Citations: 42	License type: cc-by

Affiliation: University of Okara, Technical and Vocational University, University of Management and Technology, Islamic Azad University of Hamedan, King Khalid University, Taiz University, University of Sulaymaniyah, Islamic Azad University of Kermanshah

#Dark-bright Soliton #Periodic Soliton + Show 8 more

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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>

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