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

Zhaqilao; Zhi Bin Li

doi:10.1088/1674-1056/17/7/002

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

Zhaqilao
, Zhi Bin Li^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University
Inner Mongolia Normal University China

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

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.

Original language	English
Pages (from-to)	2333-2338
Number of pages	6
Journal	Chinese Physics B
Volume	17
Issue number	7
DOIs	https://doi.org/10.1088/1674-1056/17/7/002
State	Published - 1 Jul 2008

Keywords

Hirota bilinear method
Kadomtsev-Petviashvili equation
Periodic-soliton

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10.1088/1674-1056/17/7/002

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title = "Periodic-soliton solutions of the (2+1)-dimensional Kadomtsev-Petviashvili equation",

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.",

keywords = "Hirota bilinear method, Kadomtsev-Petviashvili equation, Periodic-soliton",

author = "Zhaqilao and Li, \{Zhi Bin\}",

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AU - Zhaqilao,

AU - Li, Zhi Bin

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Y1 - 2008/7/1

N2 - 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.

AB - 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.

KW - Hirota bilinear method

KW - Kadomtsev-Petviashvili equation

KW - Periodic-soliton

UR - https://www.scopus.com/pages/publications/49749133478

U2 - 10.1088/1674-1056/17/7/002

DO - 10.1088/1674-1056/17/7/002

M3 - 文章

AN - SCOPUS:49749133478

SN - 1674-1056

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SP - 2333

EP - 2338

JO - Chinese Physics B

JF - Chinese Physics B

IS - 7

ER -

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

Abstract

Keywords

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