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)†
aDepartment of Computer Science, East China Normal University, Shanghai 200062, China; b College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China
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.
Received: 26 November 2007
Revised: 26 December 2007
Accepted manuscript online:
Fund: 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).
Cite this article:
Zhaqilao(扎其劳) and Li Zhi-Bin(李志斌) Periodic-soliton solutions of the (2+1)-dimensional Kadomtsev--Petviashvili equation 2008 Chin. Phys. B 17 2333
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