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

Bao Feng Feng, Kenichi Maruno, Yasuhiro Ohta

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    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 number1.4916895
    JournalJournal of Mathematical Physics
    Volume56
    Issue number4
    DOIs
    Publication statusPublished - 2015 Apr 16

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    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Mathematical Physics

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