A pfaffian version of the modified discrete KP equation

Gegenhasi; Xing Biao Hu; Hon Wah Tam

doi:10.1016/j.jmaa.2005.03.003

A pfaffian version of the modified discrete KP equation

Gegenhasi^*, Xing Biao Hu, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

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

1 Citation (Scopus)

Abstract

We first present Casorati determinant and Gram-type determinant solutions to a modified discrete KP equation and then produce a pfaffianized version of modified discrete KP equations by using Hirota and Ohta's pfaffianization procedure. The solutions to a coupled modified discrete KP equation are expressed by two types of pfaffians.

Original language	English
Pages (from-to)	518-529
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	311
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2005.03.003
Publication status	Published - 15 Nov 2005

Scopus Subject Areas

Analysis
Applied Mathematics

User-Defined Keywords

Gram-type pfaffian
Modified discrete KP
Pfaffianization

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10.1016/j.jmaa.2005.03.003

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title = "A pfaffian version of the modified discrete KP equation",

abstract = "We first present Casorati determinant and Gram-type determinant solutions to a modified discrete KP equation and then produce a pfaffianized version of modified discrete KP equations by using Hirota and Ohta's pfaffianization procedure. The solutions to a coupled modified discrete KP equation are expressed by two types of pfaffians.",

keywords = "Gram-type pfaffian, Modified discrete KP, Pfaffianization",

author = "Gegenhasi 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 Mathematocs, AMSS and Hong Kong RGC Grant No. HKBU2016/03P.",

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T1 - A pfaffian version of the modified discrete KP equation

AU - Gegenhasi,

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 Mathematocs, AMSS and Hong Kong RGC Grant No. HKBU2016/03P.

PY - 2005/11/15

Y1 - 2005/11/15

N2 - We first present Casorati determinant and Gram-type determinant solutions to a modified discrete KP equation and then produce a pfaffianized version of modified discrete KP equations by using Hirota and Ohta's pfaffianization procedure. The solutions to a coupled modified discrete KP equation are expressed by two types of pfaffians.

AB - We first present Casorati determinant and Gram-type determinant solutions to a modified discrete KP equation and then produce a pfaffianized version of modified discrete KP equations by using Hirota and Ohta's pfaffianization procedure. The solutions to a coupled modified discrete KP equation are expressed by two types of pfaffians.

KW - Gram-type pfaffian

KW - Modified discrete KP

KW - Pfaffianization

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U2 - 10.1016/j.jmaa.2005.03.003

DO - 10.1016/j.jmaa.2005.03.003

M3 - Journal article

AN - SCOPUS:25144496454

SN - 0022-247X

VL - 311

SP - 518

EP - 529

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

A pfaffian version of the modified discrete KP equation

Abstract

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