Symmetric waves are traveling waves for a shallow water equation modeling surface waves of moderate amplitude

Anna Geyer

    Research output: Contribution to journalArticleResearchpeer-review

    8 Citations (Scopus)

    Abstract

    © 2015 the authors. Following a general principle introduced by Ehrnström, Holden and Raynaud in 2009, we prove that for an equation modeling the free surface evolution of moderate amplitude waves in shallow water, all symmetric waves are traveling waves.
    Original languageEnglish
    Pages (from-to)545-551
    JournalJournal of Nonlinear Mathematical Physics
    Volume22
    Issue number4
    DOIs
    Publication statusPublished - 2 Oct 2015

    Keywords

    • free surface
    • moderate amplitude
    • shallow water
    • symmetric waves
    • traveling waves

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