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Nonlinear integrable couplings of a nonlinear Schrödinger–modified Korteweg de Vries hierarchy with self-consistent sources |
| Yang Hong-Wei (杨红卫)a, Dong Huan-He (董焕河)a, Yin Bao-Shu (尹宝树)b c |
a College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China;
b Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;
c Key Laboratory of Ocean Circulation and Wave, Chinese Academy of Sciences, Qingdao 266071, China |
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Abstract By means of the Lie algebra B2, a new extended Lie algebra F is constructed. Based on the Lie algebras B2 and F, the nonlinear Schrödinger-modified Korteweg de Vries (NLS-mKdV) hierarchy with self-consistent sources as well as its nonlinear integrable couplings are derived. With the help of the variational identity, their Hamiltonian structures are generated.
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Received: 01 April 2012
Revised: 26 April 2012
Accepted manuscript online:
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PACS:
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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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02.30.Ik
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(Integrable systems)
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| Fund: Project supported by the Innovation Group Project of the Chinese Academy of Sciences (Grant No. KZCX2-YW-Q07-01), the Key Foundation of the National Natural Science Foundation of China (Grant No. 41030855), and the Special Funding of Marine Science Study, State Ocean Administration (Grant No. 20090513-2). |
Corresponding Authors:
Yin Bao-Shu
E-mail: baoshuyin@126.com
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Cite this article:
Yang Hong-Wei (杨红卫), Dong Huan-He (董焕河), Yin Bao-Shu (尹宝树) Nonlinear integrable couplings of a nonlinear Schrödinger–modified Korteweg de Vries hierarchy with self-consistent sources 2012 Chin. Phys. B 21 100204
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