On the pfaffianized-KP equation with self-consistent sources

Hong Yan Wang; Xing Biao Hu; Hon Wah Tam

doi:10.1016/j.jmaa.2007.05.002

On the pfaffianized-KP equation with self-consistent sources

Hong Yan Wang^*
, Xing Biao Hu
, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

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

18 Citations (Scopus)

Abstract

A new procedure called 'source generation' is applied to the pfaffianized KP equation. As a result, the pfaffianized-KP equation with self-consistent sources (ESCS) is obtained. This coupled system cannot only be reduced to the pfaffianized KP equation, but also reduced to the KP equation with self-consistent sources (KPESCS). So the pfaffianized-KP ESCS can be viewed as a pfaffian version of the KPESCS, which indicates the commutativity of the 'source generation' procedure and pfaffianization.

Original language	English
Pages (from-to)	82-90
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	338
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2007.05.002
Publication status	Published - 1 Feb 2008

User-Defined Keywords

Pfaffianization
Pfaffianized KP equation
Self-consistent sources
Source generation procedure

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10.1016/j.jmaa.2007.05.002

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title = "On the pfaffianized-KP equation with self-consistent sources",

abstract = "A new procedure called 'source generation' is applied to the pfaffianized KP equation. As a result, the pfaffianized-KP equation with self-consistent sources (ESCS) is obtained. This coupled system cannot only be reduced to the pfaffianized KP equation, but also reduced to the KP equation with self-consistent sources (KPESCS). So the pfaffianized-KP ESCS can be viewed as a pfaffian version of the KPESCS, which indicates the commutativity of the 'source generation' procedure and pfaffianization.",

keywords = "Pfaffianization, Pfaffianized KP equation, Self-consistent sources, Source generation procedure",

author = "Wang, \{Hong Yan\} 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 Research Grant Council grant No. HKBU2016/05P.",

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AU - Wang, Hong Yan

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 Research Grant Council grant No. HKBU2016/05P.

PY - 2008/2/1

Y1 - 2008/2/1

N2 - A new procedure called 'source generation' is applied to the pfaffianized KP equation. As a result, the pfaffianized-KP equation with self-consistent sources (ESCS) is obtained. This coupled system cannot only be reduced to the pfaffianized KP equation, but also reduced to the KP equation with self-consistent sources (KPESCS). So the pfaffianized-KP ESCS can be viewed as a pfaffian version of the KPESCS, which indicates the commutativity of the 'source generation' procedure and pfaffianization.

AB - A new procedure called 'source generation' is applied to the pfaffianized KP equation. As a result, the pfaffianized-KP equation with self-consistent sources (ESCS) is obtained. This coupled system cannot only be reduced to the pfaffianized KP equation, but also reduced to the KP equation with self-consistent sources (KPESCS). So the pfaffianized-KP ESCS can be viewed as a pfaffian version of the KPESCS, which indicates the commutativity of the 'source generation' procedure and pfaffianization.

KW - Pfaffianization

KW - Pfaffianized KP equation

KW - Self-consistent sources

KW - Source generation procedure

UR - https://www.scopus.com/pages/publications/34548842181

U2 - 10.1016/j.jmaa.2007.05.002

DO - 10.1016/j.jmaa.2007.05.002

M3 - Journal article

AN - SCOPUS:34548842181

SN - 0022-247X

VL - 338

SP - 82

EP - 90

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

On the pfaffianized-KP equation with self-consistent sources

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