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Nonlinear integrable couplings of a nonlinear Schrdinger-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 Schrdinger-modified Korteweg de Vries hierarchy with self-consistent sources[J].中国物理 B,2012(10):22-28.
作者姓名:杨红卫  董焕河  尹宝树
作者单位:College of Information Science and Engineering,Shandong University of Science and Technology;Institute of Oceanology,Chinese Academy of Sciences;Key Laboratory of Ocean Circulation and Wave,Chinese Academy of Sciences
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); the Special Funding of Marine Science Study,State Ocean Administration of China (Grant No. 20090513-2)
摘    要:By means of the Lie algebra B 2,a new extended Lie algebra F is constructed.Based on the Lie algebras B 2 and F,the nonlinear Schro¨dinger-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.

关 键 词:nonlinear  integrable  couplings  NLS-mKdV  hierarchy  self-consistent  sources
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