Subharmonic resonance of nonlinear cross-waves

Seth Lichter, Jerry Chen

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

The evolution equation governing wavemaker-generated cross-waves near a cutoff frequency in an infinitely deep, infinitely long channel is shown to be the nonlinear Schrodinger equation with a homogeneous boundary condition at the wavemaker. With the inclusion of an empirically determined damping coefficient, numerical results for growth rate, slow modulation period, and wave amplitude show good agreement with previous experiments. The results also describe observations of trapped and propagating solutions.

Original languageEnglish (US)
Pages (from-to)451-465
Number of pages15
JournalJournal of fluid Mechanics
Volume183
DOIs
StatePublished - Oct 1987

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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