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

Juan Hu*, Hon Wah TAM

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Article number094004
JournalJournal of the Physical Society of Japan
Volume79
Issue number9
DOIs
Publication statusPublished - Sep 2010

Scopus Subject Areas

  • Physics and Astronomy(all)

User-Defined Keywords

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

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