General mixed multi-soliton solutions to one-dimensional multicomponent Yajima-Oikawa system

Junchao Chen, Yong Chen, Bao Feng Feng, Kenichi Maruno

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    25 Citations (Scopus)

    Abstract

    In this paper, we derive a general mixed (bright-dark) multi-soliton solution to a one-dimensional multicomponent Yajima-Oikawa (YO) system, i.e., the (M + 1)-component YO system comprised of M-component short waves (SWs) and one-component long wave (LW) for all possible combinations of nonlinearity coefficients including positive, negative and mixed types. With the help of the KP-hierarchy reduction method, we firstly construct two types of general mixed N-soliton solution (two-bright-one-dark soliton and one-bright-two-dark one for SW components) to the (3+1)-component YO system in detail. Then by extending the corresponding analysis to the (M + 1)-component YO system, a general mixed N-soliton solution in Gram determinant form is obtained. The expression of the mixed soliton solution also contains the general all bright and all dark N-soliton solution as special cases. Besides, the dynamical analysis shows that the inelastic collision can only take place among SW components when at least two SW components have bright solitons in mixed type soliton solution. Whereas, the dark solitons in SW components and the bright soliton in LW component always undergo usual elastic collision.

    Original languageEnglish
    Article number074001
    JournalJournal of the Physical Society of Japan
    Volume84
    Issue number7
    DOIs
    Publication statusPublished - 2015 Jul 15

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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