New multi-soliton solutions for the (2+1)-dimensional Kadomtsev- Petviashvili equation

Zhaqilao; Zhi Bin Li

doi:10.1088/0253-6102/49/3/13

New multi-soliton solutions for the (2+1)-dimensional Kadomtsev- Petviashvili equation

Zhaqilao, Zhi Bin Li^*

^*Corresponding author for this work

School of Mathematical Sciences

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

17 Scopus citations

Abstract

In this paper, an explicit N-fold Darboux transformation with multi-parameters for both a (1+1)-dimensional Broer-Kaup (BK) equation and a (1+1)-dimensional high-order Broer-Kaup equation is constructed with the help of a gauge transformation of their spectral problems. By using the Darboux transformation and new basic solutions of the spectral problems, 2N-soliton solutions of the BK equation, the high-order BK equation, and the Kadomtsev-Petviashvili (KP) equation are obtained.

Original language	English
Pages (from-to)	585-589
Number of pages	5
Journal	Communications in Theoretical Physics
Volume	49
Issue number	3
DOIs	https://doi.org/10.1088/0253-6102/49/3/13
State	Published - 15 Mar 2008

Keywords

BK equation
Darboux transformation
KP equation
Soliton solution

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10.1088/0253-6102/49/3/13

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title = "New multi-soliton solutions for the (2+1)-dimensional Kadomtsev- Petviashvili equation",

abstract = "In this paper, an explicit N-fold Darboux transformation with multi-parameters for both a (1+1)-dimensional Broer-Kaup (BK) equation and a (1+1)-dimensional high-order Broer-Kaup equation is constructed with the help of a gauge transformation of their spectral problems. By using the Darboux transformation and new basic solutions of the spectral problems, 2N-soliton solutions of the BK equation, the high-order BK equation, and the Kadomtsev-Petviashvili (KP) equation are obtained.",

keywords = "BK equation, Darboux transformation, KP equation, Soliton solution",

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

year = "2008",

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doi = "10.1088/0253-6102/49/3/13",

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T1 - New multi-soliton solutions for the (2+1)-dimensional Kadomtsev- Petviashvili equation

AU - Zhaqilao,

AU - Li, Zhi Bin

PY - 2008/3/15

Y1 - 2008/3/15

N2 - In this paper, an explicit N-fold Darboux transformation with multi-parameters for both a (1+1)-dimensional Broer-Kaup (BK) equation and a (1+1)-dimensional high-order Broer-Kaup equation is constructed with the help of a gauge transformation of their spectral problems. By using the Darboux transformation and new basic solutions of the spectral problems, 2N-soliton solutions of the BK equation, the high-order BK equation, and the Kadomtsev-Petviashvili (KP) equation are obtained.

AB - In this paper, an explicit N-fold Darboux transformation with multi-parameters for both a (1+1)-dimensional Broer-Kaup (BK) equation and a (1+1)-dimensional high-order Broer-Kaup equation is constructed with the help of a gauge transformation of their spectral problems. By using the Darboux transformation and new basic solutions of the spectral problems, 2N-soliton solutions of the BK equation, the high-order BK equation, and the Kadomtsev-Petviashvili (KP) equation are obtained.

KW - BK equation

KW - Darboux transformation

KW - KP equation

KW - Soliton solution

UR - https://www.scopus.com/pages/publications/51349110575

U2 - 10.1088/0253-6102/49/3/13

DO - 10.1088/0253-6102/49/3/13

M3 - 文章

AN - SCOPUS:51349110575

SN - 0253-6102

VL - 49

SP - 585

EP - 589

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 3

ER -

New multi-soliton solutions for the (2+1)-dimensional Kadomtsev- Petviashvili equation

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Keywords

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