中国物理B ›› 2012, Vol. 21 ›› Issue (10): 100204-100204.doi: 10.1088/1674-1056/21/10/100204

• GENERAL • 上一篇    下一篇

Nonlinear integrable couplings of a nonlinear Schrödinger–modified Korteweg de Vries hierarchy with self-consistent sources

杨红卫a, 董焕河a, 尹宝树b c   

  1. 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
  • 收稿日期:2012-04-01 修回日期:2012-04-26 出版日期:2012-09-01 发布日期:2012-09-01
  • 基金资助:
    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).

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   

  1. 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
  • Received:2012-04-01 Revised:2012-04-26 Online:2012-09-01 Published:2012-09-01
  • Contact: Yin Bao-Shu E-mail:baoshuyin@126.com
  • Supported by:
    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).

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摘要： 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.

关键词: nonlinear integrable couplings, NLS-mKdV hierarchy, self-consistent sources

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.

Key words: nonlinear integrable couplings, NLS-mKdV hierarchy, self-consistent sources

中图分类号:  (Partial differential equations)

  • 02.30.Jr
05.45.Yv (Solitons) 02.30.Ik (Integrable systems)