中国物理B ›› 2007, Vol. 16 ›› Issue (8): 2331-2337.doi: 10.1088/1009-1963/16/8/029

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Conservation laws of the generalized nonlocal nonlinear Schr?dinger equation

欧阳世根, 郭旗, 吴立军, 兰胜   

  1. Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 510631, China
  • 收稿日期:2006-10-27 修回日期:2006-11-30 出版日期:2007-08-20 发布日期:2007-08-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10474023 and 10674050) and Specialized Research Fund for the Doctoral Program of Higher Education (Grant No 20060574006).

Conservation laws of the generalized nonlocal nonlinear Schrödinger equation

Ouyang Shi-Gen(欧阳世根), Guo Qi (郭旗)†, Wu Li-Jun (吴立军), and Lan Sheng (兰胜)   

  1. Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 510631, China
  • Received:2006-10-27 Revised:2006-11-30 Online:2007-08-20 Published:2007-08-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10474023 and 10674050) and Specialized Research Fund for the Doctoral Program of Higher Education (Grant No 20060574006).

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摘要： The derivations of several conservation laws of the generalized nonlocal nonlinear Schr?dinger equation are presented. These invariants are the number of particles, the momentum, the angular momentum and the Hamiltonian in the quantum mechanical analogy. The Lagrangian is also presented.

Abstract: The derivations of several conservation laws of the generalized nonlocal nonlinear Schrödinger equation are presented. These invariants are the number of particles, the momentum, the angular momentum and the Hamiltonian in the quantum mechanical analogy. The Lagrangian is also presented.

Key words: nonlocal nonlinear Schrödinger equation, conservation law, Lagrangian

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
05.45.Yv (Solitons)