Special Generalized Trigonometric and Hyperbolic Function Solutions of the Space-Time Fractional Nonlinear Dispersive Modified Benjamin-Bona-Mahony Equation

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.

Keywords

• Sardar sub-equation approach
• fractional NDMBBM equation
• soliton solutions
• special generalized trigonometric and hyperbolic functions

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