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- Title
Analytical study of Boiti-Leon-Manna-Pempinelli equation using two exact methods.
- Authors
Akram, Ghazala; Sadaf, Maasoomah; Atta Ullah Khan, M.
- Abstract
The analytical study of Boiti-Leon-Manna-Pempinelli (BLMP) equation is presented in this research paper. In this study, two exact methods are utilized to attain the exact solution of proposed equation. The generalized projective Riccati equations method and modified auxiliary equation method are simple and effective techniques, which have been used to attain the exact soliton solutions of BLMP equation. Some novel exact solution of BLMP equation are acquired using of proposed methods. The obtained solutions contain rational, geometric, hyperbolic functions. The graphical simulations of attained solutions are represented by plotted graphs. The plotted graphs show different solitons patterns such as kink solitons, anti-kink soliton, dark singular soliton, bright singular soliton, dark-bright singular solition and some other singular solitons. Mathematical modeling, analysis of physical phenomena and dynamical processes can yield solutions that enhance our understanding of their dynamics, which can be leveraged to gain valuable insights into the behavior and characteristics of these systems.
- Subjects
HYPERBOLIC functions; RICCATI equation; EQUATIONS; PHENOMENOLOGICAL theory (Physics); SINE-Gordon equation; SOLITONS
- Publication
Optical & Quantum Electronics, 2024, Vol 56, Issue 5, p1
- ISSN
0306-8919
- Publication type
Article
- DOI
10.1007/s11082-024-06634-x