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Acta Physica Sinica (Overseas Edition), 1999, Vol. 8(4): 241-251    DOI: 10.1088/1004-423X/8/4/001
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SYMMETRIES AND DROMION SOLUTION OF A (2+1)-DIMENSIONAL NONLINEAR SOHR?DINGER EQUATION

Ruan Hang-yu (阮航宇)a, Chen Yi-xin (陈一新)b
a Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China; Institute of Modern Physics, Normal College of Ningbo University, Ningbo 315211, China
Abstract  The Painlevé property, infinitely many symmetries and exact solutions of a (2+1)-dimensional nonlinear Schr$\ddot{o}$dinger equation, which are obtained from the constraints of the Kadomtsev-Petviashvili equation, are studied in this paper. The Painlevé property is proved by the Weiss-Kruskal approach, the infinitely many symmetries are obtained by the formal series symmetry method and the dromion-like solution which is localized exponentially in all directions is obtained by a variable separation method.
Received:  26 November 1997      Revised:  16 November 1998      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  02.30.Jr (Partial differential equations)  
  02.30.Ik (Integrable systems)  
Fund: Project supported by the Natural Science Foundation of Zhejiang Province of China (Grant No. 196003).

Cite this article: 

Ruan Hang-yu (阮航宇), Chen Yi-xin (陈一新) SYMMETRIES AND DROMION SOLUTION OF A (2+1)-DIMENSIONAL NONLINEAR SOHR?DINGER EQUATION 1999 Acta Physica Sinica (Overseas Edition) 8 241

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