Integrable semi-discretization of a multi-component short pulse equation

Bao Feng Feng, Ken ichi Maruno, Yasuhiro Ohta

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

In the present paper, we mainly study the integrable semi-discretization of a multi-component short pulse equation. First, we briefly review the bilinear equations for a multi-component short pulse equation proposed by Matsuno [J. Math. Phys. 52, 123702 (2011)] and reaffirm its N-soliton solution in terms of pfaffians. Then by using a Bäcklund transformation of the bilinear equations and defining a discrete hodograph (reciprocal) transformation, an integrable semi-discrete multi-component short pulse equation is constructed. Meanwhile, its N-soliton solution in terms of pfaffians is also proved.

Original languageEnglish
Article number043502
JournalJournal of Mathematical Physics
Volume56
Issue number4
DOIs
Publication statusPublished - 2015 Apr 16

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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