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; b 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:
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