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

Abstract

This paper considers time‐fractional ‐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 on the wave profile of the solution is discussed graphically and comparing the exact solution of Wu–Zhang equation when . 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.

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