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New Formal Solutions of Davey-Stewartson Equation via Combined tanh Function Method with Symmetry Method

New Formal Solutions of Davey-Stewartson Equation via Combined tanh Function Method with Symmetry Method
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摘要 We combine the tanh function method with the symmetry group method to construct new type of solutions of Davey-Stewartson equation and implemente it in a computer algebraic system. As a result, some new types of solutions are obtained. This method is also applied to other differential equations if the nonlinear evolution equations admit nontrivial one-parameter group of transformation.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第4期587-593,共7页 理论物理通讯(英文版)
基金 The project partially supported by the State Key Basic Research Program of China under Grant No. 2004CB318000
关键词 tanh function method symmetry group method Davey-Stewartson equation exact solution 双曲正切函数 对称群 Davey-Stewartson方程 形式解 精确解
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