Conditional Similarity Reductions of the (2+1)-dimensional KdV Equation via the Extended Lie Group Approach(General)
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概要
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The classical and nonclassical Lie group approaches are extended and applied to construct new conditional similarity reductions for nonlinear systems. The application of the method to a simple (2+1)-dimensional KdV equation results in not only the known conditional similarity reductions obtained by the modified Clarkson and Kruskal's direct method but also a great diversity of classical and nonclassical conditional similarity reductions.
- 社団法人日本物理学会の論文
- 2004-06-15
著者
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Lin Ji
Physics Department Of Shanghai Jiao Tong University:physics Department Of Zhejiang Normal University
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TANG Xiao-yan
Physics Department of Shanghai Jiao Tong University
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QIAN Xian-min
Physics Department of Shanghai Jiao Tong University
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LOU S.
Physics Department of Shanghai Jiao Tong University
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Tang Xiao-yan
Physics Department Of Shanghai Jiao Tong University:state Key Laboratory Of Scientific And Engineeri
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Qian Xian-min
Physics Department Of Shanghai Jiao Tong University:department Of Physics Shaoxing College Of Arts A
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Lou S.
Physics Department Of Shanghai Jiao Tong University:school Of Mathematics The University Of New Sout