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Acta Physica Sinica (Overseas Edition), 1997, Vol. 6(8): 561-573    DOI: 10.1088/1004-423X/6/8/001
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(2+1)-DIMENSIONAL DERIVATIVE NONLINEAR SCHRODINGER EQUATION

LOU SEN-YUE (楼森岳)
Institute of Madern Physics, Academia Sinica, Beijing 100080; Ningbo Normat College, Ningbo 315211, China
Abstract  A(2+1)-dimensional multi-component derivative nonlinear Schr$\ddot{o}$dinger (DNLS) equation is obtained from the symmetry constraint of the modified Kadomtsev-Petviashvili equation, The model is proved to be inte- grable under the meaning that it possesses the Paitdevé property and the infinitely many generalized symmetries which constitute a generalized W$\infty$ algebra, An integrable DNLS hierarchy is obtained from the flow equation of infinitely many symntetries of the DNLS equation.
Received:  30 January 1997      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  02.30.Jr (Partial differential equations)  
  02.10.-v (Logic, set theory, and algebra)  
Fund: Project supported by the National Natural Science Foundation of China and by the Natural Science Foundation of Zhejiang Province of China.

Cite this article: 

LOU SEN-YUE (楼森岳) (2+1)-DIMENSIONAL DERIVATIVE NONLINEAR SCHRODINGER EQUATION 1997 Acta Physica Sinica (Overseas Edition) 6 561

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