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Darboux Transformations via Lie Point Symmetries: KdV Equation |
LI Yu-Qi1,2, CHEN Jun-Chao1, CHEN Yong1, LOU Sen-Yue1,2** |
1Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062 2Department of Physics, Ningbo University, Ningbo 315211
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Cite this article: |
LI Yu-Qi, CHEN Jun-Chao, CHEN Yong et al 2014 Chin. Phys. Lett. 31 010201 |
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Abstract By localizing the nonlocal symmetries of a nonlinear model to local symmetries of an enlarged system, we find Darboux-B?cklund transformations for both the original and prolonged systems. The idea is explicitly realized for the well-known KdV equation.
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Received: 22 September 2013
Published: 28 January 2014
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