An integrable semi-discretization of the coupled Yajima-Oikawa system

Junchao Chen, Yong Chen, Bao Feng Feng, Ken Ichi Maruno, Yasuhiro Ohta

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

An integrable semi-discrete analogue of the one-dimensional coupled Yajima-Oikawa system, which is comprised of multicomponent short waves and one component long wave, is proposed by using a bilinear technique. Based on the reductions of the Bäcklund transformations of the semi-discrete BKP hierarchy, both the bright and dark soliton solutions in terms of pfaffians are constructed.

Original languageEnglish
Article number165201
JournalJournal of Physics A: Mathematical and Theoretical
Volume49
Issue number16
DOIs
Publication statusPublished - 2016 Mar 8

Keywords

  • BKP hierarchy reductions
  • bright and dark soliton
  • coupled Yajima-Oikawa system
  • integrable semi-discretization

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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