Positon Solutions of the KdV Equation with Self-Consistent Sources

Y. B. Zeng; Y. J. Shao; Weimin Xue

doi:10.1023/A:1027378306253

Positon Solutions of the KdV Equation with Self-Consistent Sources

Y. B. Zeng
, Y. J. Shao
, Weimin Xue

Research output: Contribution to journal › Journal article › peer-review

8 Citations (Scopus)

Abstract

We construct a binary Darboux transformation with an arbitrary time function for the KdV equation with self-consistent sources. With this transformation, we obtain positon solutions of the KdV equation with self-consistent sources. We also discuss the properties of these solutions.

Original language	English
Pages (from-to)	1622–1631
Number of pages	10
Journal	Theoretical and Mathematical Physics
Volume	137
Issue number	2
DOIs	https://doi.org/10.1023/A:1027378306253
Publication status	Published - Nov 2003
Externally published	Yes

User-Defined Keywords

KdV equation with self-consistent sources
positon
binary Darboux transformation

Access to Document

10.1023/A:1027378306253

Cite this

@article{46b11eaa9aaa4f6a8941ed7974769993,

title = "Positon Solutions of the KdV Equation with Self-Consistent Sources",

abstract = "We construct a binary Darboux transformation with an arbitrary time function for the KdV equation with self-consistent sources. With this transformation, we obtain positon solutions of the KdV equation with self-consistent sources. We also discuss the properties of these solutions.",

keywords = "KdV equation with self-consistent sources, positon, binary Darboux transformation",

author = "Zeng, \{Y. B.\} and Shao, \{Y. J.\} and Weimin Xue",

note = "This work is supported by the Special Funds for Chinese Major Basic Research Project “Nonlinear Science” and the Research Grants Council of Hong Kong (HKBU/2047/02P).",

year = "2003",

month = nov,

doi = "10.1023/A:1027378306253",

language = "English",

volume = "137",

pages = "1622–1631",

journal = "Theoretical and Mathematical Physics",

issn = "0040-5779",

publisher = "Pleiades Publishing",

number = "2",

}

TY - JOUR

T1 - Positon Solutions of the KdV Equation with Self-Consistent Sources

AU - Zeng, Y. B.

AU - Shao, Y. J.

AU - Xue, Weimin

N1 - This work is supported by the Special Funds for Chinese Major Basic Research Project “Nonlinear Science” and the Research Grants Council of Hong Kong (HKBU/2047/02P).

PY - 2003/11

Y1 - 2003/11

N2 - We construct a binary Darboux transformation with an arbitrary time function for the KdV equation with self-consistent sources. With this transformation, we obtain positon solutions of the KdV equation with self-consistent sources. We also discuss the properties of these solutions.

AB - We construct a binary Darboux transformation with an arbitrary time function for the KdV equation with self-consistent sources. With this transformation, we obtain positon solutions of the KdV equation with self-consistent sources. We also discuss the properties of these solutions.

KW - KdV equation with self-consistent sources

KW - positon

KW - binary Darboux transformation

U2 - 10.1023/A:1027378306253

DO - 10.1023/A:1027378306253

M3 - Journal article

SN - 0040-5779

VL - 137

SP - 1622

EP - 1631

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

IS - 2

ER -

Positon Solutions of the KdV Equation with Self-Consistent Sources

Abstract

User-Defined Keywords

Access to Document

Fingerprint

Cite this