Symmetry of solitary water waves with vorticity

Research output: Contribution to journalArticlepeer-review


Symmetry and monotonicity properties of solitary water-waves of positive elevation with supercritical values of parameter are established for an arbitrary vorticity. The proof uses the detailed knowledge of asymptotic decay of supercritical solitary waves at infinity and the method of moving planes.

Original languageEnglish (US)
Pages (from-to)491-509
Number of pages19
JournalMathematical Research Letters
Issue number2-3
StatePublished - 2008
Externally publishedYes


  • Maximum principles
  • Moving planes
  • Solitary
  • Symmetry
  • Vorticity
  • Water waves

ASJC Scopus subject areas

  • General Mathematics


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