An analytical approach to solve the fractional-order (2+1)-dimensional Wu-Zhang equation

This paper considers time-fractional (2+1)$$ \left(2+1\right) $$-dimensional Wu-Zhang nonlinear system of partial differential equation describing a long dispersive wave. An approximate analytical solution of the dispersion relation of the long wave has been obtained by the fractional reduced differential transform method (FRDTM). The effect of fractional-order alpha$$ \alpha $$ on the wave profile of the solution is discussed graphically and comparing the exact solution of Wu-Zhang equation when alpha=1$$ \alpha =1 $$. The result shows that the present method reveals the effectiveness, efficiency, and reliability of computed mathematical results to easily solve the fractional-order Wu-Zhang (WZ) system of differential equations.

Automated summary

This paper investigates a nonlinear partial differential equation describing a long dispersive wave. An approximate analytical solution for the equation is obtained using a fractional reduced differential transform method. The effect of the fractional order on the wave profile is discussed and compared with the exact solution. The results demonstrate the effectiveness and reliability of the proposed method in solving the fractional-order Wu-Zhang system.