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- Title
An enormous diversity of soliton solutions to the (2+1)-dimensional extended shallow water wave equation using three analytical methods.
- Authors
Jorwal, Poonam; Arif, Mohd.; Kumar, Dharmendra
- Abstract
In this paper, we obtain a variety of analytical wave solutions of a (2 + 1)-dimensional extended shallow water wave equation. The applications of the governing equation are enormous in ocean modeling and investigation of moist-convection properties in atmospheric dynamics. Two powerful mathematical approaches, the exp (− Υ (g)) -expansion method (EEM) and the generalized projective Riccati equations method (GPREM), were used to find closed-form traveling wave solutions. In addition, the breather wave solutions were described using the Cole-Hopf transform, derived with the help of Hirota bilinear method (HBM). Eventually, we obtain 46 closed-form solutions in explicit form. The general form of obtained solutions include trigonometric, rational, exponential and hyperbolic function solutions. To illustrate the physical significance of some novel results, we provided contour, two- and three-dimensional graphics under the suitable free choices of unknown parameters. The dynamical shapes of these solutions are one soliton, multiple solitons, kink, anti-kink, lump and periodic solutions. We believe that the applied methods of this work are well-organized, genuine and powerful mathematical tools for solving the nonlinear evolution equations (NLEEs) occurring in the study of ocean science and engineering.
- Subjects
SHALLOW-water equations; NONLINEAR evolution equations; RICCATI equation; JOB applications; ATMOSPHERIC circulation
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2024, Vol 38, Issue 7, p1
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979224501042