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Finite symmetry transformation group of the Konopelchenko–Dubrovsky equation from its Lax pair |
Hu Han-Wei(胡瀚玮)a)b) and Yu Jun(俞军)a)† |
a. Department of Physics, Shaoxing University, Shaoxing 312000, China;
b. Department of Physics, Ningbo University, Ningbo 315211, China |
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Abstract Starting from a weak Lax pair, the general Lie point symmetry group of the Konopelchenko-Dubrovsky equation is obtained by using the general direct method. And the corresponding Lie algebra structure is proved to be a Kac-Moody-Virasoro type. Furthermore, a new multi-soliton solution for the Konopelchenko-Dubrovsky equation is also given from this symmetry group and a known solution.
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Received: 29 June 2011
Revised: 24 September 2011
Accepted manuscript online:
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PACS:
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02.30.Ik
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(Integrable systems)
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02.30.Jr
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(Partial differential equations)
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05.45.Yv
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(Solitons)
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10875078) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y7080455). |
Corresponding Authors:
Yu Jun,junyu@usx.edu.cn
E-mail: junyu@usx.edu.cn
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Cite this article:
Hu Han-Wei(胡瀚玮) and Yu Jun(俞军) Finite symmetry transformation group of the Konopelchenko–Dubrovsky equation from its Lax pair 2012 Chin. Phys. B 21 020202
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