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- Title
Traveling waves solutions of Hirota–Ramani equation by modified extended direct algebraic method and new extended direct algebraic method.
- Authors
Ashraf, Farrah; Ashraf, Romana; Akgül, Ali
- 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.
- Subjects
NONLINEAR differential equations; PARTIAL differential equations; NONLINEAR equations; EQUATIONS
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2024, Vol 38, Issue 24, p1
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979224503296