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New bright soliton solutions for Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equations and bidirectional propagation of water wave surface.
- Source :
- International Journal of Modern Physics C: Computational Physics & Physical Computation; May2022, Vol. 33 Issue 5, p1-15, 15p
- Publication Year :
- 2022
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01291831
- Volume :
- 33
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- International Journal of Modern Physics C: Computational Physics & Physical Computation
- Publication Type :
- Academic Journal
- Accession number :
- 157231967
- Full Text :
- https://doi.org/10.1142/S0129183122500693