中国物理B ›› 2008, Vol. 17 ›› Issue (7): 2333-2338.doi: 10.1088/1674-1056/17/7/002

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Periodic-soliton solutions of the (2+1)-dimensional Kadomtsev--Petviashvili equation

李志斌1, 扎其劳2   

  1. (1)Department of Computer Science, East China Normal University, Shanghai 200062, China; (2)Department of Computer Science, East China Normal University, Shanghai 200062, China;College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China
  • 收稿日期:2007-11-26 修回日期:2007-12-26 出版日期:2008-07-09 发布日期:2008-07-09
  • 基金资助:
    Project supported by the National Key Basic Research Project of China (Grant No 2004CB318000), the National Natural Science Foundation of China (Grant No 10771072), the PhD Program Scholarship Fund of ECNU2008 (Grant No 20080052) and the Youth Foundation of Inner Mongolia Normal University, China (Grant No QN07035).

Periodic-soliton solutions of the (2+1)-dimensional Kadomtsev--Petviashvili equation

Zhaqilao(扎其劳)a)b) and Li Zhi-Bin(李志斌)a)†   

  1. a Department of Computer Science, East China Normal University, Shanghai 200062, China; b College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China
  • Received:2007-11-26 Revised:2007-12-26 Online:2008-07-09 Published:2008-07-09
  • Supported by:
    Project supported by the National Key Basic Research Project of China (Grant No 2004CB318000), the National Natural Science Foundation of China (Grant No 10771072), the PhD Program Scholarship Fund of ECNU2008 (Grant No 20080052) and the Youth Foundation of Inner Mongolia Normal University, China (Grant No QN07035).

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摘要： $2N$ line-soliton solutions of the (2+1)-dimensional Kadomtsev--Petviashvili equation can be presented by resorting to the Hirota bilinear method. By extending the real parameters into complex parameters, this paper obtains $N$ periodic-soliton solutions of the (2+1)-dimensional Kadomtsev--Petviashvili equation from the $2N$ line-soliton solutions.

关键词: periodic-soliton, Kadomtsev--Petviashvili equation, Hirota bilinear method

Abstract: $2N$ line-soliton solutions of the (2+1)-dimensional Kadomtsev--Petviashvili equation can be presented by resorting to the Hirota bilinear method. By extending the real parameters into complex parameters, this paper obtains $N$ periodic-soliton solutions of the (2+1)-dimensional Kadomtsev--Petviashvili equation from the $2N$ line-soliton solutions.

Key words: periodic-soliton, Kadomtsev--Petviashvili equation, Hirota bilinear method

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.Jr (Partial differential equations)