1. Newly developed analytical method and its applications of some mathematical models.
- Author
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Yan, Li, Yel, Gulnur, Baskonus, Haci Mehmet, Bulut, Hasan, and Gao, Wei
- Subjects
MATHEMATICAL models ,SINE-Gordon equation ,NONLINEAR dynamical systems ,NONLINEAR differential equations ,NONLINEAR waves - Abstract
This paper presents a newly developed method, namely, the rational sine-Gordon expansion method to find novel exact solutions to nonlinear differential equations. This method is based on the sine-Gordon expansion method. To generalize the approach, we utilize the ansatz, which is a rational function as different to a polynomial function. In this way, we have more general wave solutions for nonlinear dynamic systems. We apply this method to the (2 + 1)-dimensional conformable Zakharov–Kuznetsov modified equal width (ZK-MEW) equation and the modified regularized long wave (MRLW) equation. Some new solutions are reported. Consequently, we submit the new soliton solutions to the literature. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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