Similarity Reduction Analysis for a Coupled KdV System |
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Authors: | QIAN Su-Ping TIAN Li-Xin |
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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 |
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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. |
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Keywords: | coupled KdV equations direct method nonclassical Lie approach |
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