In this paper, a new homotopy perturbation method (NHPM) is introduced for obtaining the solution of linear and non-linear Schrödinger equations. To illustrate the high accuracy, capability and reliability of the method several examples are provided. In this method, the first approximate solution has been used to reach the exact solution of the equation.
In this work G G -expansion method is used to obtain exact solutions of the Jimbo-Miwa (JM) and TzitzeicaDodd_Bullough (TDB) equations. It is shown that G G -expansion method is straightforward and concise, and its applications are promising.
In this paper, Homotopy perturbation method has been used for solving systems of nonlinear integro-differential equations governing on the problem of results reveal that the method is very effective and simple. The results of homotopy perturbation method are of high accuracy. The example is presented to show the ability of the method.
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