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Chinese Physics, 2007, Vol. 16(8): 2331-2337    DOI: 10.1088/1009-1963/16/8/029
THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Prev   Next  

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)
Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 510631, China
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.
Keywords:  nonlocal nonlinear Schrödinger equation      conservation law      Lagrangian  
Received:  27 October 2006      Revised:  30 November 2006      Accepted manuscript online: 
PACS:  03.65.Ge (Solutions of wave equations: bound states)  
  05.45.Yv (Solitons)  
Fund: 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).

Cite this article: 

Ouyang Shi-Gen(欧阳世根), Guo Qi (郭旗), Wu Li-Jun (吴立军), and Lan Sheng (兰胜) Conservation laws of the generalized nonlocal nonlinear Schrödinger equation 2007 Chinese Physics 16 2331

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