2012 **Abstract:** a b s t r a c tWe observe that the form of the Kadomstev-Petviashvili equation studied by Yu (2011) [S. Yu, N-soliton solutions of the KP equation by Exp-function method, Appl. Math. Comput. (2011) doi:10.1016/j.amc.2010.095] is incorrect. We claim that the N-soliton solutions obtained by means of the basic Exp-function method and some of its known generalizations do not satisfy the equation considered. We emphasize that Yu's results (except only one) cannot be solutions of the correct form of the Kadomstev-P…

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“…In 2006, He and Wu presented an exp-function method to find the travelling wave solutions of nonlinear PDEs [25][26][27][28]. This method was reliable and effective to find a solution for such complex physical phenomena.…”

confidence: 99%

“…In 2006, He and Wu presented an exp-function method to find the travelling wave solutions of nonlinear PDEs [25][26][27][28]. This method was reliable and effective to find a solution for such complex physical phenomena.…”

confidence: 99%

“…The use of property (8) requires that the function is differentiable with respect to the function and the function is continuous (not necessarily differentiable). On the other hand, property (9) needs the function to be continuous (not necessarily differentiable) with respect to the function and the function differentiable with respect to . In particular, property (8) will be utilized in our work.…”

confidence: 99%

“…Over the last few decades, exact solutions, analytical approximate solutions, and numerical solutions of NPDEs have been successfully obtained. The methods for obtaining exact explicit solutions of NPDEs are, for example, the ( / )-expansion method [6], the tanhfunction method [7,8], the exp-function method [9,10], the -expansion method [11], Hirota's direct method [12,13], Kudryashov method [14,15], and so on. Examples of the methods for obtaining analytical approximate solutions to NPDEs are the variational iteration method [16,17] (VIM), the Adomian decomposition method [18,19] (ADM), and the homotopy perturbation method [20,21] (HPM).…”

confidence: 99%

“…Over the last few decades, exact solutions, analytical approximate solutions, and numerical solutions of many NPDEs have been successfully obtained. The methods for obtaining exact explicit solutions of NPDEs are, for example, the ( / )-expansion method [6][7][8], the ( / , 1/ )-expansion method [9][10][11], the novel ( / )-expansion method [12], the tanh-function method [13], the exp-function method [14,15], the F-expansion method [16], Hirota's direct method [17,18], Kudryashov method [19,20], and the extended auxiliary equation method [21]. Examples of the methods for obtaining analytical approximate solutions to NPDEs are the variational iteration method [22,23] (VIM), the Adomian decomposition method [24,25] (ADM), the homotopy perturbation method [26,27] (HPM), and the reduced differential transform method [28].…”

confidence: 99%