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Hamiltonian Structures and Integrability for a Discrete Coupled KdV-Type Equation Hierarchy |
| ZHAO Hai-Qiong1, ZHU Zuo-Nong1**, ZHANG Jing-Li2
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1Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240
2Science and Literature Section, Shijiazhuang Mechanized Infantry Academy, Shijiazhuang 050083
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ZHAO Hai-Qiong, ZHU Zuo-Nong, ZHANG Jing-Li 2011 Chin. Phys. Lett. 28 050202 |
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Abstract Coupled Korteweg-de Vries (KdV) systems have many important physical applications. By considering a 4×4 spectral problem, we derive a discrete coupled KdV-type equation hierarchy. Our hierarchy includes the coupled Volterra system proposed by Lou et al.(e-print arXiv:0711.0420) as the first member which is a discrete version of the coupled KdV equation. We also investigate the integrability in the Liouville sense and the multi-Hamiltonian structures for the obtained hierarchy.
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02.30.Ik
05.45.Yv
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Received: 01 October 2010
Published: 26 April 2011
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