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- Title
Newly Developed Analytical Scheme and Its Applications to the Some Nonlinear Partial Differential Equations with the Conformable Derivative.
- Authors
Yan, Li; Yel, Gulnur; Kumar, Ajay; Baskonus, Haci Mehmet; Gao, Wei
- Abstract
This paper presents a novel and general analytical approach: the rational sine-Gordon expansion method and its applications to the nonlinear Gardner and (3+1)-dimensional mKdV-ZK equations including a conformable operator. Some trigonometric, periodic, hyperbolic and rational function solutions are extracted. Physical meanings of these solutions are also presented. After choosing suitable values of the parameters in the results, some simulations are plotted. Strain conditions for valid solutions are also reported in detail.
- Subjects
DIFFERENTIAL calculus; NONLINEAR partial differential operators; DERIVATIVES (Mathematics); PARTIAL differential equations; TRIGONOMETRY
- Publication
Fractal & Fractional, 2021, Vol 5, Issue 4, p238
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract5040238