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- Title
New bright soliton solutions for Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equations and bidirectional propagation of water wave surface.
- Authors
Saha Ray, S.; Singh, Shailendra
- Abstract
The governing equations for fluid flows, i.e. Kadomtsev–Petviashvili–Benjamin–Bona–Mahony (KP-BBM) model equations represent a water wave model. These model equations describe the bidirectional propagating water wave surface. In this paper, an auto-Bäcklund transformation is being generated by utilizing truncated Painlevé expansion method for the considered equation. This paper determines the new bright soliton solutions for (2 + 1) and (3 + 1) -dimensional nonlinear KP-BBM equations. The simplified version of Hirota's technique is utilized to infer new bright soliton solutions. The results are plotted graphically to understand the physical behavior of solutions.
- Subjects
WATER waves; THEORY of wave motion; NONLINEAR equations; FLUID flow; SOLITONS; EQUATIONS; NONLINEAR Schrodinger equation
- Publication
International Journal of Modern Physics C: Computational Physics & Physical Computation, 2022, Vol 33, Issue 5, p1
- ISSN
0129-1831
- Publication type
Article
- DOI
10.1142/S0129183122500693