A modified semi-discrete BKP-type equation with self-consistent sources

Juan Hu; Hon Wah Tam

doi:10.1143/JPSJ.79.094004

A modified semi-discrete BKP-type equation with self-consistent sources

Juan Hu^*, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

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

Abstract

In this paper, a modified semi-discrete BKP-type equation [t _-1-flow of the BKP hierarchy (KP hierarchy of the B-type)] is firstly proposed and its pfaffian solutions are obtained. Then, utilizing the source generation procedure, this modified semi-discrete BKP-type equation with self-consistent sources (BKP-type ESCS) is presented and its pfaffian solutions are derived. This modified semi-discrete BKP-type ESCS obtained is shown to constitute a bilinear Bäcklund transformation for the semi-discrete BKP-type ESCS originally given by Wang et al. in 2007. This means that the commutativity of the source generation procedure (SGP) and Bäcklund transformations (BT) is valid for the semi-discrete BKP-type equation.

Original language	English
Article number	094004
Journal	Journal of the Physical Society of Japan
Volume	79
Issue number	9
DOIs	https://doi.org/10.1143/JPSJ.79.094004
Publication status	Published - Sept 2010

User-Defined Keywords

Bäcklund transformations
Modified semi-discrete BKP-type equation
Pfaffian solutions
Self-consistent sources
Source generation procedure

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10.1143/JPSJ.79.094004

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title = "A modified semi-discrete BKP-type equation with self-consistent sources",

abstract = "In this paper, a modified semi-discrete BKP-type equation [t -1-flow of the BKP hierarchy (KP hierarchy of the B-type)] is firstly proposed and its pfaffian solutions are obtained. Then, utilizing the source generation procedure, this modified semi-discrete BKP-type equation with self-consistent sources (BKP-type ESCS) is presented and its pfaffian solutions are derived. This modified semi-discrete BKP-type ESCS obtained is shown to constitute a bilinear B{\"a}cklund transformation for the semi-discrete BKP-type ESCS originally given by Wang et al. in 2007. This means that the commutativity of the source generation procedure (SGP) and B{\"a}cklund transformations (BT) is valid for the semi-discrete BKP-type equation.",

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T1 - A modified semi-discrete BKP-type equation with self-consistent sources

AU - Hu, Juan

AU - Tam, Hon Wah

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N2 - In this paper, a modified semi-discrete BKP-type equation [t -1-flow of the BKP hierarchy (KP hierarchy of the B-type)] is firstly proposed and its pfaffian solutions are obtained. Then, utilizing the source generation procedure, this modified semi-discrete BKP-type equation with self-consistent sources (BKP-type ESCS) is presented and its pfaffian solutions are derived. This modified semi-discrete BKP-type ESCS obtained is shown to constitute a bilinear Bäcklund transformation for the semi-discrete BKP-type ESCS originally given by Wang et al. in 2007. This means that the commutativity of the source generation procedure (SGP) and Bäcklund transformations (BT) is valid for the semi-discrete BKP-type equation.

AB - In this paper, a modified semi-discrete BKP-type equation [t -1-flow of the BKP hierarchy (KP hierarchy of the B-type)] is firstly proposed and its pfaffian solutions are obtained. Then, utilizing the source generation procedure, this modified semi-discrete BKP-type equation with self-consistent sources (BKP-type ESCS) is presented and its pfaffian solutions are derived. This modified semi-discrete BKP-type ESCS obtained is shown to constitute a bilinear Bäcklund transformation for the semi-discrete BKP-type ESCS originally given by Wang et al. in 2007. This means that the commutativity of the source generation procedure (SGP) and Bäcklund transformations (BT) is valid for the semi-discrete BKP-type equation.

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KW - Pfaffian solutions

KW - Self-consistent sources

KW - Source generation procedure

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DO - 10.1143/JPSJ.79.094004

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JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

IS - 9

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ER -

A modified semi-discrete BKP-type equation with self-consistent sources

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