Pfaffianization of the discrete three-dimensional three wave interaction equation

Gegenhasi; Jun Xiao Zhao; Xing Biao Hu; Hon Wah Tam

doi:10.1016/j.laa.2005.05.012

Pfaffianization of the discrete three-dimensional three wave interaction equation

Gegenhasi^*, Jun Xiao Zhao, Xing Biao Hu, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

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

5 Citations (Scopus)

Abstract

We first present the discrete Gram-type determinant solution to the discrete three-dimensional three wave interaction equation. Then a pfaffianized version of the discrete three-dimensional three wave interaction equation is produced by using Hirota and Ohta's pfaffianization procedure. The Gram-type pfaffian solution to the resulting system is also given. In addition, we obtain the soliton solutions of the resulting system as an example of the Gram-type pfaffian solution.

Original language	English
Pages (from-to)	277-295
Number of pages	19
Journal	Linear Algebra and Its Applications
Volume	407
Issue number	1-3
DOIs	https://doi.org/10.1016/j.laa.2005.05.012
Publication status	Published - 15 Sept 2005

Scopus Subject Areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

User-Defined Keywords

Discrete Gram-type determinant solution
Discrete three-dimensional three wave equation
Gram-type pfaffian
Pfaffianization

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10.1016/j.laa.2005.05.012

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title = "Pfaffianization of the discrete three-dimensional three wave interaction equation",

abstract = "We first present the discrete Gram-type determinant solution to the discrete three-dimensional three wave interaction equation. Then a pfaffianized version of the discrete three-dimensional three wave interaction equation is produced by using Hirota and Ohta's pfaffianization procedure. The Gram-type pfaffian solution to the resulting system is also given. In addition, we obtain the soliton solutions of the resulting system as an example of the Gram-type pfaffian solution.",

keywords = "Discrete Gram-type determinant solution, Discrete three-dimensional three wave equation, Gram-type pfaffian, Pfaffianization",

author = "Gegenhasi and Zhao, {Jun Xiao} and Hu, {Xing Biao} and Tam, {Hon Wah}",

note = "Funding Information: This work was partially supported by the National Natural Science Foundation of China (Grant No. 10471139), CAS President grant, the knowledge innovation program of the Institute of Computational Math., AMSS and Hong Kong RGC Grant No. HKBU2016/03P.",

year = "2005",

month = sep,

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doi = "10.1016/j.laa.2005.05.012",

language = "English",

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journal = "Linear Algebra and Its Applications",

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TY - JOUR

T1 - Pfaffianization of the discrete three-dimensional three wave interaction equation

AU - Gegenhasi,

AU - Zhao, Jun Xiao

AU - Hu, Xing Biao

AU - Tam, Hon Wah

N1 - Funding Information: This work was partially supported by the National Natural Science Foundation of China (Grant No. 10471139), CAS President grant, the knowledge innovation program of the Institute of Computational Math., AMSS and Hong Kong RGC Grant No. HKBU2016/03P.

PY - 2005/9/15

Y1 - 2005/9/15

N2 - We first present the discrete Gram-type determinant solution to the discrete three-dimensional three wave interaction equation. Then a pfaffianized version of the discrete three-dimensional three wave interaction equation is produced by using Hirota and Ohta's pfaffianization procedure. The Gram-type pfaffian solution to the resulting system is also given. In addition, we obtain the soliton solutions of the resulting system as an example of the Gram-type pfaffian solution.

AB - We first present the discrete Gram-type determinant solution to the discrete three-dimensional three wave interaction equation. Then a pfaffianized version of the discrete three-dimensional three wave interaction equation is produced by using Hirota and Ohta's pfaffianization procedure. The Gram-type pfaffian solution to the resulting system is also given. In addition, we obtain the soliton solutions of the resulting system as an example of the Gram-type pfaffian solution.

KW - Discrete Gram-type determinant solution

KW - Discrete three-dimensional three wave equation

KW - Gram-type pfaffian

KW - Pfaffianization

UR - http://www.scopus.com/inward/record.url?scp=24044511793&partnerID=8YFLogxK

U2 - 10.1016/j.laa.2005.05.012

DO - 10.1016/j.laa.2005.05.012

M3 - Journal article

AN - SCOPUS:24044511793

SN - 0024-3795

VL - 407

SP - 277

EP - 295

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

ER -

Pfaffianization of the discrete three-dimensional three wave interaction equation

Abstract

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