Soliton Solutions in the Nonlinear Conformable Wu-Zhang System

Tariq, Hira; Ashraf, Hira; Hosseinzadeh, Mohammad Ali; Rezazadeh, Hadi; Biria, Soheila

doi:10.22034/cmde.2024.61514.2661

Soliton Solutions in the Nonlinear Conformable Wu-Zhang System

Articles in Press

Document Type : Research Paper

Authors

¹ Department of Mathematics, Government College Women University, Sialkot, Pakistan.

² Faculty of Engineering Modern Technologies, Amol University of Special Modern Technologies, Amol, Iran.

³ Higher Education Extension Office, Vice-Chancellor of Education, Ministry of Science, Research and Technology, Tehran, Iran.

10.22034/cmde.2024.61514.2661

Abstract

In this paper, new analytical solutions of nonlinear fractional Wu-Zhang system are determined with the aid of two analytical approaches, that is, generalized projective Riccati equation method and Sardar sub-equation method via conformable derivative. The system gives a description of (1 + 1)-dimensional dispersive long wave in two horizontal directions on shallow waters. Some new solitary wave solutions are demonstrated by the means of computer softwares maple or mathematica. The obtained results reveals that the proposed method is very efficacious and straightforward in the determination of the solution for the nonlinear fractional Wu-Zhang system.

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