Oblique Traveling Wave Closed-Form Solutions to Space-Time Fractional Coupled Dispersive Long Wave Equation Through the Generalized Exponential Expansion Method

This work concerned with the oblique traveling wave solutions of coupled space-time fractional (2 + 1)-dimensional dispersive long wave equations (DLWE) for understanding the basic features of resonance wave dynamics in science and engineering, mainly in water wave dynamics. The generalized exp(− Ψ (ζ))-expansion scheme mutually by means of conformable derivatives is implemented to seek several types of faithful solutions of coupled DLWE. The oblique traveling wave solutions are displayed in the forms of trigonometric, hyperbolic and rational functions through physical and some supplementary free parameters. It is predicted that the obliqueness is significantly modified the oppositely propagating long waves assuming the suitable values of the parameters.