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Nonlinear integrable couplings of a nonlinear Schrödinger—modified Korteweg de Vries hierarchy with self-consistent sources
引用本文:杨红卫,董焕河,尹宝树.Nonlinear integrable couplings of a nonlinear Schrödinger—modified Korteweg de Vries hierarchy with self-consistent sources[J].中国物理 B,2012,21(10):100204-100204.
作者姓名:杨红卫  董焕河  尹宝树
作者单位: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
基金项目: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).
摘    要:

收稿时间:2012-04-01

Nonlinear integrable couplings of a nonlinear Schrödinger–modified Korteweg de Vries hierarchy with self-consistent sources
Yang Hong-Wei,Dong Huan-He,Yin Bao-Shu.Nonlinear integrable couplings of a nonlinear Schrödinger–modified Korteweg de Vries hierarchy with self-consistent sources[J].Chinese Physics B,2012,21(10):100204-100204.
Authors:Yang Hong-Wei  Dong Huan-He  Yin Bao-Shu
Institution: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
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.
Keywords:nonlinear integrable couplings  NLS-mKdV hierarchy  self-consistent sources
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