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- Title
Computational approaches for nonlinear gravity dispersive long waves and multiple soliton solutions for coupled system nonlinear (2+1)-dimensional Broer–Kaup–Kupershmit dynamical equation.
- Authors
Iqbal, Mujahid; Seadawy, Aly R.; Lu, Dianchen; Zhang, Zhengdi
- Abstract
In this paper, the coupled system nonlinear (2 + 1)-dim Broer–Kaup–Kupershmit (BKK) equation under consideration is based on extension of modified rational expansion method. The various kinds of multiple soliton solutions named anti-kink soliton, traveling wave solutions, periodic solution, dark soliton, kink soliton, bright soliton, anti-kink bright solitons, kink bright solitons for nonlinear BKK system are successfully constructed under symbolic computation Mathematica. The calculated results are very interesting, different and novel which have not been investigated in past literature. The graphical demonstration of constructed solutions show by contour, 2D and 3D shape by using computer software Mathematica. The constructed multiple soliton solutions prove that EMRE approach is very straightforward, efficient, reliable and powerful for the investigation of other nonlinear partial differential equations. The investigated results will be described and play a keen role in the study of nonlinear physical phenomena in the area of physics and engineering.
- Subjects
SYMBOLIC computation; NONLINEAR systems; NONLINEAR differential equations; PARTIAL differential equations; GRAVITY; PHENOMENOLOGICAL theory (Physics); NONLINEAR dynamical systems
- Publication
International Journal of Geometric Methods in Modern Physics, 2024, Vol 21, Issue 7, p1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887824501263