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Similarity Reduction Analysis for a Coupled KdV System
Authors:QIAN Su-Ping  TIAN Li-Xin
Affiliation:1. Department of Mathematics, Changshu Institute of Technology, Changshu 215500, China;2. Nonlinear Scientific Research Center, Faculty of Science,Jiangsu University, Zhenjiang 212013, China
Abstract:Using the direct method for a coupled KdV system, six types of the similarity reductions are obtained. The group explanation of the results is also given. It is pointed out that, in order to find all the results by nonclassical Lie approach, two additional condition equations should be satisfied at the same time together with two original equations.
Keywords:coupled KdV equations   direct method   nonclassical Lie approach
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