Grammian solutions and pfaffianization of a non-isospectral and variable-coefficient Kadomtsev-Petviashvili equation

Ye Peng Sun; Hon Wah Tam

doi:10.1016/j.jmaa.2008.01.086

Grammian solutions and pfaffianization of a non-isospectral and variable-coefficient Kadomtsev-Petviashvili equation

Ye Peng Sun^*
, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

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

16 Citations (Scopus)

Abstract

In this paper, we first present the Grammian determinant solutions to the non-isospectral and variable-coefficient Kadomtsev-Petviashvili (vcKP) equation. Then, by using the pfaffianization procedure of Hirota and Ohta, a new non-isospectral and variable-coefficient integrable coupled system is generated. Moreover, Gramm-type pfaffian solutions of the pfaffianized system are proposed.

Original language	English
Pages (from-to)	810-817
Number of pages	8
Journal	Journal of Mathematical Analysis and Applications
Volume	343
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2008.01.086
Publication status	Published - 15 Jul 2008

User-Defined Keywords

Grammian determinant solution
Non-isospectral vcKP equation
Pfaffianization

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10.1016/j.jmaa.2008.01.086

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title = "Grammian solutions and pfaffianization of a non-isospectral and variable-coefficient Kadomtsev-Petviashvili equation",

abstract = "In this paper, we first present the Grammian determinant solutions to the non-isospectral and variable-coefficient Kadomtsev-Petviashvili (vcKP) equation. Then, by using the pfaffianization procedure of Hirota and Ohta, a new non-isospectral and variable-coefficient integrable coupled system is generated. Moreover, Gramm-type pfaffian solutions of the pfaffianized system are proposed.",

keywords = "Grammian determinant solution, Non-isospectral vcKP equation, Pfaffianization",

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 = "2008",

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doi = "10.1016/j.jmaa.2008.01.086",

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T1 - Grammian solutions and pfaffianization of a non-isospectral and variable-coefficient Kadomtsev-Petviashvili equation

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 - 2008/7/15

Y1 - 2008/7/15

N2 - In this paper, we first present the Grammian determinant solutions to the non-isospectral and variable-coefficient Kadomtsev-Petviashvili (vcKP) equation. Then, by using the pfaffianization procedure of Hirota and Ohta, a new non-isospectral and variable-coefficient integrable coupled system is generated. Moreover, Gramm-type pfaffian solutions of the pfaffianized system are proposed.

AB - In this paper, we first present the Grammian determinant solutions to the non-isospectral and variable-coefficient Kadomtsev-Petviashvili (vcKP) equation. Then, by using the pfaffianization procedure of Hirota and Ohta, a new non-isospectral and variable-coefficient integrable coupled system is generated. Moreover, Gramm-type pfaffian solutions of the pfaffianized system are proposed.

KW - Grammian determinant solution

KW - Non-isospectral vcKP equation

KW - Pfaffianization

UR - https://www.scopus.com/pages/publications/41949121990

U2 - 10.1016/j.jmaa.2008.01.086

DO - 10.1016/j.jmaa.2008.01.086

M3 - Journal article

AN - SCOPUS:41949121990

SN - 0022-247X

VL - 343

SP - 810

EP - 817

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Grammian solutions and pfaffianization of a non-isospectral and variable-coefficient Kadomtsev-Petviashvili equation

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