TRAVELING WAVE SOLUTIONS TO A MATHEMATICAL MODEL OF FRACTIONAL ORDER (2+1)-DIMENSIONAL BREAKING SOLITON EQUATION

Umair Ali, A. H. Ganie, Ilyas Khan, F. Alotaibi, Kashif Kamran, Shabbir Muhammad and Omar A. Al-Hartomy
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Umair Ali: Department of Applied Mathematics and Statistics, Institute of Space Technology, P. O. Box 2750, Islamabad 44000, Pakistan
A. H. Ganie: ��Basic Sciences Department, College of Science and Theoretical Studies, Saudi Electronic University, Abha 61421, Saudi Arabia
Ilyas Khan: ��Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majma’ah 11952, Saudi Arabia
F. Alotaibi: �Department of Mathematics, Faculty of Applied Sciences, Umm Al-Qura University, Makkah, Saudi Arabia
Kashif Kamran: �Department of Physics, University of Agriculture, Faisalabad 38040, Pakistan
Shabbir Muhammad: ��Research Center for Advanced Materials Science (RCAMS), King Khalid University, P. O. Box 9004, Abha, Saudi Arabia**Department of Physics, College of Science, King Khalid University, P. O. Box 9004, Abha, Saudi Arabia
Omar A. Al-Hartomy: ��†Department of Physics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-10

Abstract: The aim of this study is to consider solving an important mathematical model of fractional order (2+1)-dimensional breaking soliton (Calogero) equation by Khater method. The derivatives are in the local fractional derivative sense. The fractional transformation equation is utilized to convert the proposed nonlinear fractional order differential equation into nonlinear ordinary differential equation. The Khater method is used to construct the closed-form traveling wave solutions of the said fractional differential equation. In addition, many new exact solutions are constructed. This shows that the Khater method is more convenient, powerful, and easy to solve the nonlinear fractional differential equation arising in mathematical physics.

Keywords: Khater Method; Local Fractional Derivative; Fractional Order (2+1)-Dimensional Breaking Soliton Equation; Maple 15 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401247

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