| SYMMETRIES AND DROMION SOLUTION OF A (2+1)-DIMENSIONAL NONLINEAR SOHR?DINGER EQUATION |
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| 引用本文： | 阮航宇,陈一新.SYMMETRIES AND DROMION SOLUTION OF A (2+1)-DIMENSIONAL NONLINEAR SOHR?DINGER EQUATION[J].物理学报(海外版),1999,8(4):241-251. |
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| 作者姓名： | 阮航宇 陈一新 |
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| 作者单位： | (1)Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China; (2)Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China; Institute of Modern Physics, Normal College of Ningbo University, Ningbo 315211, China |
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| 基金项目： | Project supported by the Natural Science Foundation of Zhejiang Province of China (Grant No. 196003). |
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| 摘 要： | The Painlevé property, infinitely many symmetries and exact solutions of a (2+1)-dimensional nonlinear Schr?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.
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| 收稿时间： | 1997-11-26 |
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