Special Generalized Trigonometric and Hyperbolic Function Solutions of the Space-Time Fractional Nonlinear Dispersive Modified Benjamin-Bona-Mahony Equation
Journal of advanced research in natural and applied sciences (Online), vol.11, no.2, pp.197-209, 2025 (TRDizin)
- Publication Type: Article / Article
- Volume: 11 Issue: 2
- Publication Date: 2025
- Doi Number: 10.28979/jarnas.1684271
- Journal Name: Journal of advanced research in natural and applied sciences (Online)
- Journal Indexes: TR DİZİN (ULAKBİM)
- Page Numbers: pp.197-209
- Süleyman Demirel University Affiliated: No
Abstract
In mathematical physics, the nonlinear dispersive modified Benjamin-Bono-Mahony equation is an essential nonlinear evolution equation. This paper employs the Sardar sub-equation approach to derive the analytic solutions of the space-time fractional nonlinear dispersive modified Benjamin-Bona-Mahony equation with a conformable derivative. These solutions, obtained using the proposed approach, are presented in specialized generalized hyperbolic and trigonometric forms. The soliton solutions are also obtained using the presented approach. Additionally, some of these solutions are illustrated in both two- and three-dimensional graphs for visualization. Finally, the suggested approach is novel, easy, and productive for obtaining analytic solutions and is applicable to numerous nonlinear fractional partial differential equations.