Abstract—In this paper, the Reduced Differential Transform method (RDTM) is used to find the numerical solution of the equal width wave (EW) equation and the exact analytical solution of the inviscid Burgers' equation with initial conditions. The method has been used successfully to investigate the motion of a single solitary wave that is governed by the EW equation. The solution is obtained in the form of convergent power series. The results obtained show that the error norms to the exact solutions are reasonably small and that the present method is easier and powerful than some other known techniques.

Index Terms—Single solitary wave, equal width wave (EW) equation, inviscid burgers' equation, reduced differential transform method (RDTM).

The authors are with the DPT, IIT, ROORKEE.

Cite: Rajan Arora, Md. Junaid Siddiqui, and V. P. Singh, "Solutions of Inviscid Burgers’ and Equal Width Wave Equations by RDTM," International Journal of Applied Physics and Mathematics  vol. 2, no. 3, pp.  212-214, 2012.