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A novel construction of Quasi-Pade approximation and its application in solving generalized (2+1) dimensional Boussinesq equation

Zhenbo Li, Jiashi Tang, Ping Cai

Abstract


The solitary wave solutions of the generalized (2+1) dimensional Boussinesq equation are investigated in this paper. Based on a novel construction of Quasi-Pad´e approximation, the explicit solitary wave solutions are obtained. To illustrate the accuracy of the present method, the solutions obtained in this paper are compared with numerical method. The comparison shows that the accuracy of the method proposed in this paper is quite high, which can be considered on a par with exact solution And the method can be also utilized to investigate many other equations.

Keywords


generalized (2+1) dimensional Boussinesq equation; solitary wave; Quasi-Pade approximation

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