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Traveling waves solutions of Hirota–Ramani equation by modified extended direct algebraic method and new extended direct algebraic method

Farrah Ashraf

Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan

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Romana Ashraf

Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan

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, and

Ali Akgül

Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey

Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia/Mersin 10 – Turkey

E-mail Address: aliakgul00727@gmail.com

Corresponding author.

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https://doi.org/10.1142/S0217979224503296Cited by:3 (Source: Crossref)

Abstract

In this paper, new exact traveling wave solutions are obtained by Hirota–Ramani equation. The many exact complex solutions of several types of nonlinear partial differential equations (NPDEs) are presented using the modified extended direct algebraic approach and new extended direct algebraic method, which is among the most effective mathematical techniques for finding a precise solution to NPDEs and put into a framework of algebraic computation. By selecting different bright and solitary soliton forms and by creating various analytical optical soliton solutions for the investigated equation, we hope to demonstrate how the analyzed model’s parameter impacts soliton behavior. It is possible to obtain new, complex solutions for nonlinear equations like the $(1 + 1)$ -dimensional Hirota–Ramani equation.

Keywords:

PACS: 84.40.Fe

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