Large-amplitude solitary water waves with vorticity

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26 Citations (SciVal)


We provide the first construction of exact solitary waves of large amplitude with an arbitrary distribution of vorticity. We use continuation to construct a global connected set of symmetric solitary waves of elevation, whose profiles decrease monotonically on either side of a central crest. This generalizes the classical result of Amick and Toland.

Original languageEnglish
Pages (from-to)2937-2994
Number of pages58
JournalSiam Journal on Mathematical Analysis
Issue number5
Publication statusPublished - 1 Dec 2013


  • Solitary waves
  • Vorticity
  • Water waves

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics


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