Document Type

Journal Article

Department/Unit

Department of Computer Science

Title

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

Language

English

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. © 2010 The Physical Society of Japan.

Keywords

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

Publication Date

2010

Source Publication Title

Journal of the Physical Society of Japan

Volume

79

Issue

9

Start Page

094004-1

End Page

094004-6

Publisher

Physical Society of Japan 日本物理学会

DOI

10.1143/JPSJ.79.094004

Link to Publisher's Edition

http://dx.doi.org/10.1143/JPSJ.79.094004

ISSN (print)

00319015

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