Grammian solutions and Pfaffianization of the non-isospectral modified Kadomtsev-Petviashvili equation

Ye Peng Sun; Hon Wah Tam

doi:10.1016/j.physleta.2008.04.006

Grammian solutions and Pfaffianization of the non-isospectral modified 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

4 Citations (Scopus)

Abstract

The Grammian determinant solutions of the non-isospectral modified Kadomtsev-Petviashvili (mKP) equation are presented. Moreover, a new non-isospectral coupled system is constructed by using the Pfaffianization procedure. Furthermore, Gramm-type Pfaffian solutions of the non-isospectral coupled system are obtained.

Original language	English
Pages (from-to)	4412-4417
Number of pages	6
Journal	Physics Letters A
Volume	372
Issue number	24
DOIs	https://doi.org/10.1016/j.physleta.2008.04.006
Publication status	Published - 9 Jun 2008

User-Defined Keywords

Gramm-type Pfaffian solution
Grammian determinant solution
Integrable coupled system
Non-isospectral mKP equation
Pfaffian identity
Pfaffianization procedure

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10.1016/j.physleta.2008.04.006

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title = "Grammian solutions and Pfaffianization of the non-isospectral modified Kadomtsev-Petviashvili equation",

abstract = "The Grammian determinant solutions of the non-isospectral modified Kadomtsev-Petviashvili (mKP) equation are presented. Moreover, a new non-isospectral coupled system is constructed by using the Pfaffianization procedure. Furthermore, Gramm-type Pfaffian solutions of the non-isospectral coupled system are obtained.",

keywords = "Gramm-type Pfaffian solution, Grammian determinant solution, Integrable coupled system, Non-isospectral mKP equation, Pfaffian identity, Pfaffianization procedure",

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

note = "Funding Information: One of the authors (Y.-P. Sun) is very grateful to Professor Xing-Biao Hu for his ardent guidance and 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",

month = jun,

day = "9",

doi = "10.1016/j.physleta.2008.04.006",

language = "English",

volume = "372",

pages = "4412--4417",

journal = "Physics Letters A",

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TY - JOUR

T1 - Grammian solutions and Pfaffianization of the non-isospectral modified Kadomtsev-Petviashvili equation

AU - Sun, Ye Peng

AU - Tam, Hon Wah

N1 - Funding Information: One of the authors (Y.-P. Sun) is very grateful to Professor Xing-Biao Hu for his ardent guidance and 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 - 2008/6/9

Y1 - 2008/6/9

N2 - The Grammian determinant solutions of the non-isospectral modified Kadomtsev-Petviashvili (mKP) equation are presented. Moreover, a new non-isospectral coupled system is constructed by using the Pfaffianization procedure. Furthermore, Gramm-type Pfaffian solutions of the non-isospectral coupled system are obtained.

AB - The Grammian determinant solutions of the non-isospectral modified Kadomtsev-Petviashvili (mKP) equation are presented. Moreover, a new non-isospectral coupled system is constructed by using the Pfaffianization procedure. Furthermore, Gramm-type Pfaffian solutions of the non-isospectral coupled system are obtained.

KW - Gramm-type Pfaffian solution

KW - Grammian determinant solution

KW - Integrable coupled system

KW - Non-isospectral mKP equation

KW - Pfaffian identity

KW - Pfaffianization procedure

UR - http://www.scopus.com/inward/record.url?scp=43849110141&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2008.04.006

DO - 10.1016/j.physleta.2008.04.006

M3 - Journal article

AN - SCOPUS:43849110141

SN - 0375-9601

VL - 372

SP - 4412

EP - 4417

JO - Physics Letters A

JF - Physics Letters A

IS - 24

ER -

Grammian solutions and Pfaffianization of the non-isospectral modified Kadomtsev-Petviashvili equation

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