Abstract:
In this study, the reduced differential transform method (RDTM) was applied to solve two
dimensional nonlinear sine-Gordon equation subject to the appropriate initial conditions arising in
various physical models. This method provides the solutions in the form of infinite series
expansions which converge to their exact solutions with easily computed terms. Using the RDTM
the exact solution can be obtained by constructing a recursive formula. Three test modeling
problems from mathematical physics, nonlinear Sine-Gordon equations are considered to verify the
efficiency, accuracy and convergence of the proposed method. Moreover, Solutions obtained by
RDTM are in close conformity with the solutions of earlier studies in the review of the literatures
and the results obtained shows that the RDTM technique is highly accurate, efficient, convenient,
converge and require less effort in comparison to the other analytical and numerical methods such
as DTM. Also, results indicate that the introduced method is promising for solving other type of
linear and nonlinear partial differential equations.
