The non-isospectral and variable-coefficient KP equation with self-consistent sources and new coupled system

Ye Peng Sun; Hon Wah Tam; Bo Zhu

doi:10.1016/j.cnsns.2010.11.009

The non-isospectral and variable-coefficient KP equation with self-consistent sources and new coupled system

Ye Peng Sun^*
, Hon Wah Tam
, Bo Zhu

^*Corresponding author for this work

Department of Computer Science

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

3 Citations (Scopus)

Abstract

The non-isospectral variable-coefficient KP equation with self-consistent sources and its Grammian solutions are obtained for the first time by using the source generation procedure. Moreover, a new coupled system of the non-isospectral variable-coefficient KP equation with self-consistent sources is constructed by applying the source generation procedure and the coupled non-isospectral variable-coefficient KP equation without sources. The novel coupled system with sources cannot only be reduced to the coupled non-isospectral variable-coefficient KP equation, but also reduced to the non-isospectral variable-coefficient KP equation with self-consistent sources.

Original language	English
Pages (from-to)	3024-3032
Number of pages	9
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	16
Issue number	8
DOIs	https://doi.org/10.1016/j.cnsns.2010.11.009
Publication status	Published - Aug 2011

User-Defined Keywords

Coupled system
Grammian solution
Non-isospectral variable-coefficient KP equation
Source generation procedure

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10.1016/j.cnsns.2010.11.009

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title = "The non-isospectral and variable-coefficient KP equation with self-consistent sources and new coupled system",

abstract = "The non-isospectral variable-coefficient KP equation with self-consistent sources and its Grammian solutions are obtained for the first time by using the source generation procedure. Moreover, a new coupled system of the non-isospectral variable-coefficient KP equation with self-consistent sources is constructed by applying the source generation procedure and the coupled non-isospectral variable-coefficient KP equation without sources. The novel coupled system with sources cannot only be reduced to the coupled non-isospectral variable-coefficient KP equation, but also reduced to the non-isospectral variable-coefficient KP equation with self-consistent sources.",

keywords = "Coupled system, Grammian solution, Non-isospectral variable-coefficient KP equation, Source generation procedure",

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

note = "Funding Information: The authors would like to express their thanks to the referees for their valuable advice. The first author is grateful to Professor Xing-Biao Hu for his guidance and ardent help. This work is supported the National Natural Science Foundation of China (Grant Nos. 10771207 and 11071241 ), Hong Kong General Research Fund HKBU 202209 and the Nature Science Foundation of Shandong Province of China (Grant Nos. ZR2010AL014 and ZR2010AL001 ). ",

year = "2011",

month = aug,

doi = "10.1016/j.cnsns.2010.11.009",

language = "English",

volume = "16",

pages = "3024--3032",

journal = "Communications in Nonlinear Science and Numerical Simulation",

issn = "1007-5704",

publisher = "Elsevier B.V.",

number = "8",

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T1 - The non-isospectral and variable-coefficient KP equation with self-consistent sources and new coupled system

AU - Sun, Ye Peng

AU - Tam, Hon Wah

AU - Zhu, Bo

N1 - Funding Information: The authors would like to express their thanks to the referees for their valuable advice. The first author is grateful to Professor Xing-Biao Hu for his guidance and ardent help. This work is supported the National Natural Science Foundation of China (Grant Nos. 10771207 and 11071241 ), Hong Kong General Research Fund HKBU 202209 and the Nature Science Foundation of Shandong Province of China (Grant Nos. ZR2010AL014 and ZR2010AL001 ).

PY - 2011/8

Y1 - 2011/8

N2 - The non-isospectral variable-coefficient KP equation with self-consistent sources and its Grammian solutions are obtained for the first time by using the source generation procedure. Moreover, a new coupled system of the non-isospectral variable-coefficient KP equation with self-consistent sources is constructed by applying the source generation procedure and the coupled non-isospectral variable-coefficient KP equation without sources. The novel coupled system with sources cannot only be reduced to the coupled non-isospectral variable-coefficient KP equation, but also reduced to the non-isospectral variable-coefficient KP equation with self-consistent sources.

AB - The non-isospectral variable-coefficient KP equation with self-consistent sources and its Grammian solutions are obtained for the first time by using the source generation procedure. Moreover, a new coupled system of the non-isospectral variable-coefficient KP equation with self-consistent sources is constructed by applying the source generation procedure and the coupled non-isospectral variable-coefficient KP equation without sources. The novel coupled system with sources cannot only be reduced to the coupled non-isospectral variable-coefficient KP equation, but also reduced to the non-isospectral variable-coefficient KP equation with self-consistent sources.

KW - Coupled system

KW - Grammian solution

KW - Non-isospectral variable-coefficient KP equation

KW - Source generation procedure

UR - https://www.scopus.com/pages/publications/79952532761

U2 - 10.1016/j.cnsns.2010.11.009

DO - 10.1016/j.cnsns.2010.11.009

M3 - Journal article

AN - SCOPUS:79952532761

SN - 1007-5704

VL - 16

SP - 3024

EP - 3032

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 8

ER -

The non-isospectral and variable-coefficient KP equation with self-consistent sources and new coupled system

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