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Soliton Solution of the Nonlinear Time Fractional Equations: Comprehensive Methods to Solve Physical Models

Authors :
Donal O’Regan
Safoura Rezaei Aderyani
Reza Saadati
Mustafa Inc
Source :
Axioms, Vol 13, Iss 2, p 92 (2024)
Publication Year :
2024
Publisher :
MDPI AG, 2024.

Abstract

In this paper, we apply two different methods, namely, the G′G-expansion method and the G′G2-expansion method to investigate the nonlinear time fractional Harry Dym equation in the Caputo sense and the symmetric regularized long wave equation in the conformable sense. The mentioned nonlinear partial differential equations (NPDEs) arise in diverse physical applications such as ion sound waves in plasma and waves on shallow water surfaces. There exist multiple wave solutions to many NPDEs and researchers are interested in analytical approaches to obtain these multiple wave solutions. The multi-exp-function method (MEFM) formulates a solution algorithm for calculating multiple wave solutions to NPDEs and at the end of paper, we apply the MEFM for calculating multiple wave solutions to the (2 + 1)-dimensional equation.

Details

Language :
English
ISSN :
20751680
Volume :
13
Issue :
2
Database :
Directory of Open Access Journals
Journal :
Axioms
Publication Type :
Academic Journal
Accession number :
edsdoj.f72ef554f145423a8e7bcf8c2d30fff3
Document Type :
article
Full Text :
https://doi.org/10.3390/axioms13020092