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Application of Computer Algebra in Solving Chaffee--Infante Equation
Authors:XIE Fu-Ding LIU Xiao-Dan SUN Xiao-Peng TANG Di
Institution:1. Department of Computer Science, Liaoning Normal University, Dalian 116029, China} ;2. Key Laboratory of Mathematics Mechanization, AMSS, the Chinese Academy of Sciences, Beijing 100080, China
Abstract:In this paper, a series of two line-soliton solutions and double periodic solutions of Chaffee-Infante equation have been obtained by using a new transformation. Unlike the existing methods which are used to find multiple soliton solutions of nonlinear partial differential equations, this approach is constructive and pure algebraic. The results found here are tested on computer and therefore their validity is ensured.
Keywords:Chaffee-Infante equation  two line-soliton solution  double periodic solution
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