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Applications of Computer Algebra in Solving Nonlinear Evolution Equations
Authors:XIE Fu-Ding  GAO Xiao-Shan
Affiliation:1. Department of Computer Sciences, Liaoning Normal University, Dalian 116029, China ;2. Key Laboratory of Mathematics and Mechanization, the Chinese Academy of Sciences, Beijing 100080, China
Abstract:With the use of computer algebra, the method thatstraightforwardly leads to travelling wave solutions is presented.The compound KdV--Burgers equation and KP--B equation are chosen toillustrate this approach. As a result, their abundant newsoliton-like solutions and period form solutions are found.
Keywords:computer algebra   travelling wave solution   nonlinearevolution equation   
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