Traveling wave solutions to the Boussinesq equation via Sardar sub-equation technique-Reference-Cited by-同舟云学术

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

Published:2022 Issue:6 Volume:7 Page:11134-11149
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Hamood-Ur-Rahman ¹,Asjad Muhammad Imran²,Munawar Nayab¹,parvaneh Foroud³,Muhammad Taseer⁴,Hamoud Ahmed A.⁵,Emadifar Homan⁶⁷,Hamasalh Faraidun K.⁷,Azizi Hooshmand⁸,Khademi Masoumeh⁶

Affiliation:

1. Department of Mathematics, University Of Okara, Okara, Pakistan

2. Department of Mathematics, University of Management and Technology, Lahore, Pakistan

3. Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran

4. Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia

5. Department of Mathematics, Taiz University, Taiz-380 015, Yemen

6. Department of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, Iran

7. Department of Mathematics, College of Education, University of Sulaimani, Kurdistan Region, Iraq

8. Department of Electrical and Computer Engineering, No.1 Faculty of Kermanshah, Technical and Vocational University (TVU), Kermanshah, Iran

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>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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