Soliton for nonlinear Rayleigh surface waves on homogeneous isotropic materials

Naoaki Bekki, Keisho Ishii, Kazushige Endo

    Research output: Contribution to journalArticle

    Abstract

    We reinvestigate the steady propagation of nonlinear Rayleigh surface waves on homogeneous isotropic materials by the method of multiple scales. We find an explicit form for the steady propagation of nonlinear Rayleigh surface waves in terms of the Jacobi elliptic functions using a parametric excitation model. We show theoretically that finite-amplitude Rayleigh waves can propagate as a solitary pulse or shock on a homogeneous isotropic solid. In this study, we suggest that the propagation of nonlinear Rayleigh surface waves on viscoelastic materials can be described by the complex Ginzburg–Landau equation.

    Original languageEnglish
    Article number014001
    JournalJournal of the Physical Society of Japan
    Volume88
    Issue number1
    DOIs
    Publication statusPublished - 2019 Jan 1

    Fingerprint

    surface waves
    solitary waves
    propagation
    elliptic functions
    Rayleigh waves
    shock
    pulses
    excitation

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Soliton for nonlinear Rayleigh surface waves on homogeneous isotropic materials. / Bekki, Naoaki; Ishii, Keisho; Endo, Kazushige.

    In: Journal of the Physical Society of Japan, Vol. 88, No. 1, 014001, 01.01.2019.

    Research output: Contribution to journalArticle

    Bekki, Naoaki ; Ishii, Keisho ; Endo, Kazushige. / Soliton for nonlinear Rayleigh surface waves on homogeneous isotropic materials. In: Journal of the Physical Society of Japan. 2019 ; Vol. 88, No. 1.
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