No solitary waves exist on 2D deep water

Research output: Contribution to journalArticlepeer-review


The solitary wave problem at the free surface of a two-dimensional, infinitely-deep and irrotational flow of water under the influence of gravity is formulated as a nonlinear pseudodifferential equation. A Pohozaev identity is used to show that it admits no solutions which asymptotically vanish faster than linearly.

Original languageEnglish (US)
Pages (from-to)3301-3312
Number of pages12
Issue number12
StatePublished - Dec 2012

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics


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