Pfaffian solutions to a generalized KP system with variable coefficients

Alrazi Abdeljabbar; Trung Dinh Tran

doi:10.12988/ams.2016.65165

Pfaffian solutions to a generalized KP system with variable coefficients

Alrazi Abdeljabbar
, Trung Dinh Tran

Mathematics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

The Pfaffianization procedure of Ohta and Hirota is used to extend a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation with variable coefficients(vcKP) to a new coupled vcKP system. Pfaffian technique is employed in computing Wronski-type Pfaffian and Gramm- type Pfaffian solutions for the resulting Pfaffianized system.

Original language	British English
Pages (from-to)	2351-2368
Number of pages	18
Journal	Applied Mathematical Sciences
Volume	10
Issue number	48
DOIs	https://doi.org/10.12988/ams.2016.65165
State	Published - 2016

Keywords

Grammtype Pfaffian solution
Hirota bilinear form
Wronski-type Pfaffian solution

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10.12988/ams.2016.65165

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title = "Pfaffian solutions to a generalized KP system with variable coefficients",

abstract = "The Pfaffianization procedure of Ohta and Hirota is used to extend a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation with variable coefficients(vcKP) to a new coupled vcKP system. Pfaffian technique is employed in computing Wronski-type Pfaffian and Gramm- type Pfaffian solutions for the resulting Pfaffianized system.",

keywords = "Grammtype Pfaffian solution, Hirota bilinear form, Wronski-type Pfaffian solution",

author = "Alrazi Abdeljabbar and Tran, \{Trung Dinh\}",

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year = "2016",

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AU - Abdeljabbar, Alrazi

AU - Tran, Trung Dinh

PY - 2016

Y1 - 2016

N2 - The Pfaffianization procedure of Ohta and Hirota is used to extend a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation with variable coefficients(vcKP) to a new coupled vcKP system. Pfaffian technique is employed in computing Wronski-type Pfaffian and Gramm- type Pfaffian solutions for the resulting Pfaffianized system.

AB - The Pfaffianization procedure of Ohta and Hirota is used to extend a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation with variable coefficients(vcKP) to a new coupled vcKP system. Pfaffian technique is employed in computing Wronski-type Pfaffian and Gramm- type Pfaffian solutions for the resulting Pfaffianized system.

KW - Grammtype Pfaffian solution

KW - Hirota bilinear form

KW - Wronski-type Pfaffian solution

UR - https://www.scopus.com/pages/publications/85040306387

U2 - 10.12988/ams.2016.65165

DO - 10.12988/ams.2016.65165

M3 - Article

AN - SCOPUS:85040306387

SN - 1312-885X

VL - 10

SP - 2351

EP - 2368

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

IS - 48

ER -

Pfaffian solutions to a generalized KP system with variable coefficients

Abstract

Keywords

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