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

摘要

This paper considers time-fractional (2+1)$$ left(2+1right) $$-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.