On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources

Ye Peng Sun; Hon Wah Tam

doi:10.1016/j.na.2008.02.037

On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources

Ye Peng Sun^*
, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

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

2 Citations (Scopus)

Abstract

A new procedure called 'source generation' is applied to construct non-isospectral soliton equations with self-consistent sources. As results, the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources (KPESCS) and its Gramm-type determinant solutions are obtained. Furthermore, the non-isospectral Pfaffianized-KP equation with self-consistent sources is constructed. This coupled system can not only be reduced to the non-isospectral Pfaffianized-KP equation, but also reduced to the non-isospectral KPESCS.

Original language	English
Pages (from-to)	1610-1619
Number of pages	10
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	70
Issue number	4
DOIs	https://doi.org/10.1016/j.na.2008.02.037
Publication status	Published - 15 Feb 2009

User-Defined Keywords

Grammian determinant solution
Non-isospectral KP equation
Pfaffianization
Self-consistent sources
Source generation procedure

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10.1016/j.na.2008.02.037

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title = "On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources",

abstract = "A new procedure called 'source generation' is applied to construct non-isospectral soliton equations with self-consistent sources. As results, the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources (KPESCS) and its Gramm-type determinant solutions are obtained. Furthermore, the non-isospectral Pfaffianized-KP equation with self-consistent sources is constructed. This coupled system can not only be reduced to the non-isospectral Pfaffianized-KP equation, but also reduced to the non-isospectral KPESCS.",

keywords = "Grammian determinant solution, Non-isospectral KP equation, Pfaffianization, Self-consistent sources, Source generation procedure",

author = "Sun, \{Ye Peng\} and Tam, \{Hon Wah\}",

note = "Funding Information: The authors would like to express their thanks to the referees for their valuable advice. The authors are also grateful to Professor Hu Xing-Biao for his guidance and ardent help. This work is supported by the Postdoctoral Science Foundation of China, the National Natural Science Foundation of China (grant No. 10771207) and Hong Kong Research Grant Council grant No. HKBU 202007.",

year = "2009",

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day = "15",

doi = "10.1016/j.na.2008.02.037",

language = "English",

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TY - JOUR

T1 - On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources

AU - Sun, Ye Peng

AU - Tam, Hon Wah

N1 - Funding Information: The authors would like to express their thanks to the referees for their valuable advice. The authors are also grateful to Professor Hu Xing-Biao for his guidance and ardent help. This work is supported by the Postdoctoral Science Foundation of China, the National Natural Science Foundation of China (grant No. 10771207) and Hong Kong Research Grant Council grant No. HKBU 202007.

PY - 2009/2/15

Y1 - 2009/2/15

N2 - A new procedure called 'source generation' is applied to construct non-isospectral soliton equations with self-consistent sources. As results, the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources (KPESCS) and its Gramm-type determinant solutions are obtained. Furthermore, the non-isospectral Pfaffianized-KP equation with self-consistent sources is constructed. This coupled system can not only be reduced to the non-isospectral Pfaffianized-KP equation, but also reduced to the non-isospectral KPESCS.

AB - A new procedure called 'source generation' is applied to construct non-isospectral soliton equations with self-consistent sources. As results, the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources (KPESCS) and its Gramm-type determinant solutions are obtained. Furthermore, the non-isospectral Pfaffianized-KP equation with self-consistent sources is constructed. This coupled system can not only be reduced to the non-isospectral Pfaffianized-KP equation, but also reduced to the non-isospectral KPESCS.

KW - Grammian determinant solution

KW - Non-isospectral KP equation

KW - Pfaffianization

KW - Self-consistent sources

KW - Source generation procedure

UR - https://www.scopus.com/pages/publications/57049165542

U2 - 10.1016/j.na.2008.02.037

DO - 10.1016/j.na.2008.02.037

M3 - Journal article

AN - SCOPUS:57049165542

SN - 0362-546X

VL - 70

SP - 1610

EP - 1619

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 4

ER -

On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources

Abstract

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