Instabilities and splitting of pulses in coupled Ginzburg-Landau equations

Hidetsugu Sakaguchi, Boris A. Malomed

    研究成果: ジャーナルへの寄稿学術誌査読

    20 被引用数 (Scopus)

    抄録

    We introduce a general system of two coupled cubic complex Ginzburg-Landau (GL) equations that admits exact solitary-pulse (SP) solutions with a stable zero background. Besides representing a class of systems of the GL type, it also describes a dual-core nonlinear optical fiber with gain in one core and losses in the other. By means of systematic simulations, we study generic transformations of SPs in this system, which turn out to be: cascading multiplication of pulses through a subcritical Hopf bifurcation, which eventually leads to a spatio-temporal chaos; splitting of SP into stable traveling pulses; and a symmetry-breaking bifurcation transforming a standing SP into a traveling one. In some parameter region, the Hopf bifurcation is found to be supercritical, which gives rise to stable breathers. Travelling breathers are also possible in the system considered. In a certain parameter region, stable standing SPs, moving permanent-shape ones, and traveling breathers all coexist. In that case, we study collisions between various types of the pulses, which, generally, prove to be strongly inelastic.

    本文言語英語
    ページ(範囲)229-239
    ページ数11
    ジャーナルPhysica D: Nonlinear Phenomena
    154
    3-4
    DOI
    出版ステータス出版済み - 6月 15 2001

    !!!All Science Journal Classification (ASJC) codes

    • 統計物理学および非線形物理学
    • 数理物理学
    • 凝縮系物理学
    • 応用数学

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