A plethora of generalised solitary gravity-capillary water waves

Didier Clamond, Denys Dutykh, Angel Durán

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


The present study describes, first, an efficient algorithm for computing solutions in terms of capillary-gravity solitary waves of the irrotational Euler equations with a free surface and, second, provides numerical evidences of the existence of an infinite number of generalised solitary waves (solitary waves with undamped oscillatory wings). Using conformal mapping, the unknown fluid domain, which is to be determined, is mapped into a uniform strip of the complex plane. In the transformed domain, a Babenko-like equation is then derived and solved numerically.

Original languageBritish English
Pages (from-to)664-680
Number of pages17
JournalJournal of Fluid Mechanics
StatePublished - 6 Nov 2015


  • capillary waves
  • solitary waves
  • waves/free-surface flows


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