New bright soliton solutions for Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equations and bidirectional propagation of water wave surface

S. Saha Ray and Shailendra Singh
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S. Saha Ray: Department of Mathematics, National Institute of Technology, Rourkela 769008, India
Shailendra Singh: Department of Mathematics, National Institute of Technology, Rourkela 769008, India

International Journal of Modern Physics C (IJMPC), 2022, vol. 33, issue 05, 1-15

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.

Keywords: (2+1)-dimensional KP-BBM equation; (3+1)-dimensional KP-BBM equation; simplified Hirota’s method; auto-Bäcklund transformation; truncated Painlevé expansion method; dispersion relation (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0129183122500693

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