Abstract
In this paper, the new approach to solve important type of partial differential equations based on (1+1) dimension was proposed. Analytical solitary wave combine with Adomain Decomposition method is suggested to get exact solution of nonlinear (1+1) dimension PDEs. Yields solution in rapid convergent series from easily computable terms to get exact solution, and in some cases, yields in few iteration we get exact solution. Moreover, this approach does not require any discretization or perturbations and therefore reduces the computations. The suggested procedure easy implementation yet highly accurate and rapidly converge to exact solution compares with the other methods.The methodology presented here is useful for strongly nonlinear problems.
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