中国物理B ›› 1994, Vol. 3 ›› Issue (4): 241-249.doi: 10.1088/1004-423X/3/4/001

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INFINITELY MANY SYMMETRIES OF THE BILINEAR KADOMTSEV-PETVIASHVILI EQUATION

林机1, 张解放1, 许学军1, 楼森岳2   

  1. (1)Department of Physics, Zhejiang Normal University, Jinghua 321004, China; (2)Institute of Modern Physics, Ningbo Normal College, Ningbo 315211, China and Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China
  • 收稿日期:1993-06-15 出版日期:1994-04-20 发布日期:1994-04-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China and the Natural Science Foundation of Zhejiang Province.

INFINITELY MANY SYMMETRIES OF THE BILINEAR KADOMTSEV-PETVIASHVILI EQUATION

LOU SEN-YUE (楼森岳)a, LIN JI (林机)b, ZHANG JIE-FANG (张解放)b, XU XUE-JUN (许学军)b   

  1. a Institute of Modern Physics, Ningbo Normal College, Ningbo 315211, China and Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China; b Department of Physics, Zhejiang Normal University, Jinghua 321004, China
  • Received:1993-06-15 Online:1994-04-20 Published:1994-04-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China and the Natural Science Foundation of Zhejiang Province.

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摘要： A simple formula for symmetries of the bilinear Kadomtsev- Petviashvili equation (BKPE) is given by using a direct method presented by Lou. The symmetry algebra of the BKPE is not isomorphic to those of the usual KP equation though these equations are related by the well known Cole-Hopf transformation.

Abstract: A simple formula for symmetries of the bilinear Kadomtsev- Petviashvili equation (BKPE) is given by using a direct method presented by Lou. The symmetry algebra of the BKPE is not isomorphic to those of the usual KP equation though these equations are related by the well known Cole-Hopf transformation.

中图分类号:  (Symmetry and conservation laws)

  • 11.30.-j
02.10.Ud (Linear algebra) 02.30.Jr (Partial differential equations)