中国物理B ›› 1998, Vol. 7 ›› Issue (4): 241-248.doi: 10.1088/1004-423X/7/4/001

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STUDY OF A (2+1)-DIMENSIONAL BROER-KAUP EQUATION

陈一新1, 阮航宇2   

  1. (1)Institute of Modern Physics and Department of Physics, Zhejiang University , Hangzhou 310027, China; (2)Institute of Modern Physics, Normal College of Ningbo University , Ningbo 315211, China; Institute of Modern Physics and Department of Physics, Zhejiang University , Hangzhou 310027, China
  • 收稿日期:1997-04-10 修回日期:1997-11-21 出版日期:1998-04-20 发布日期:1998-04-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Zhejiang Province of China.

STUDY OF A (2+1)-DIMENSIONAL BROER-KAUP EQUATION

RUAN HANG-YU (阮航宇)ab, CHEN YI-XIN (陈一新)b   

  1. a Institute of Modern Physics, Normal College of Ningbo University , Ningbo 315211, China; b Institute of Modern Physics and Department of Physics, Zhejiang University , Hangzhou 310027, China
  • Received:1997-04-10 Revised:1997-11-21 Online:1998-04-20 Published:1998-04-20
  • Supported by:
    Project supported by the Natural Science Foundation of Zhejiang Province of China.

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摘要： The Painlevé property and infinitely many symmetries of a (2+1)-dimensional Broer-Kaup equation which is obtained from the constraints of the KP 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.

Abstract: The Painlevé property and infinitely many symmetries of a (2+1)-dimensional Broer-Kaup equation which is obtained from the constraints of the KP 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.

中图分类号:  (Integrable systems)

  • 02.30.Ik
02.10.Ud (Linear algebra) 02.30.Jr (Partial differential equations)