Stable localized solutions of arbitrary length for the quintic Swift-Hohenberg equation

Hidetsugu Sakaguchi, Helmut R. Brand

    研究成果: Contribution to journalArticle査読

    94 被引用数 (Scopus)

    抄録

    We show that localized solutions of arbitrary length are stable over a finite parameter interval of subcritical values for the quintic Swift-Hohenberg equation with a destabilizing cubic term. This equation is thought to model a weakly hysteretic transition to stationary patterns. We argue that the stabilization of the localized states of arbitrary length can be traced back to the interaction between long wavelength modulations and spatial variations on the length scale of one unit cell. These results are critically compared with other known mechanisms to stabilize localized states in various situations. We also discuss for which experimental systems the states predicted here could be detected including e.g. the stationary onset of binary fluid convection.

    本文言語英語
    ページ(範囲)274-285
    ページ数12
    ジャーナルPhysica D: Nonlinear Phenomena
    97
    1-3
    DOI
    出版ステータス出版済み - 1996

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Mathematical Physics
    • Condensed Matter Physics
    • Applied Mathematics

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