On the general variable-coefficient KP equation with self-consistent sources

Ye Peng Sun; Hon Wah Tam

doi:10.1063/1.3610672

On the general variable-coefficient KP 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

Abstract

A new general variable-coefficient KP equation with self-consistent sources and its Grammian solutions is obtained by using the source generation procedure. Moreover, by applying the Pfaffianization procedure, a new coupled variable-coefficient KP equation is constructed. Its Wronski-type Pfaffian solution and Gramm-type Pfaffian solution are given. At last, a new integrable system of the general variable-coefficient KP equation with self-consistent sources is established.

Original language	English
Article number	073511
Journal	Journal of Mathematical Physics
Volume	52
Issue number	7
DOIs	https://doi.org/10.1063/1.3610672
Publication status	Published - 11 Jul 2011

Scopus Subject Areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "On the general variable-coefficient KP equation with self-consistent sources",

abstract = "A new general variable-coefficient KP equation with self-consistent sources and its Grammian solutions is obtained by using the source generation procedure. Moreover, by applying the Pfaffianization procedure, a new coupled variable-coefficient KP equation is constructed. Its Wronski-type Pfaffian solution and Gramm-type Pfaffian solution are given. At last, a new integrable system of the general variable-coefficient KP equation with self-consistent sources is established.",

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

note = "Funding Information: The authors would like to thank the referee for valuable suggestions. The first author is grateful to Professor Xing-Biao Hu for his guidance and ardent help. The project was supported the National Natural Science Foundation of China (Grant No. 11071241), Hong Kong General Research Fund HKBU 202209, and the Nature Science Foundation of Shandong Province of China (Grant Nos. ZR2010AL014 and ZR2010AL001).",

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AU - Sun, Ye Peng

AU - Tam, Hon Wah

N1 - Funding Information: The authors would like to thank the referee for valuable suggestions. The first author is grateful to Professor Xing-Biao Hu for his guidance and ardent help. The project was supported the National Natural Science Foundation of China (Grant No. 11071241), Hong Kong General Research Fund HKBU 202209, and the Nature Science Foundation of Shandong Province of China (Grant Nos. ZR2010AL014 and ZR2010AL001).

PY - 2011/7/11

Y1 - 2011/7/11

N2 - A new general variable-coefficient KP equation with self-consistent sources and its Grammian solutions is obtained by using the source generation procedure. Moreover, by applying the Pfaffianization procedure, a new coupled variable-coefficient KP equation is constructed. Its Wronski-type Pfaffian solution and Gramm-type Pfaffian solution are given. At last, a new integrable system of the general variable-coefficient KP equation with self-consistent sources is established.

AB - A new general variable-coefficient KP equation with self-consistent sources and its Grammian solutions is obtained by using the source generation procedure. Moreover, by applying the Pfaffianization procedure, a new coupled variable-coefficient KP equation is constructed. Its Wronski-type Pfaffian solution and Gramm-type Pfaffian solution are given. At last, a new integrable system of the general variable-coefficient KP equation with self-consistent sources is established.

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DO - 10.1063/1.3610672

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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On the general variable-coefficient KP equation with self-consistent sources

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