Modulated periodic stokes waves in deep water

M. J. Ablowitz, J. Hammack, D. Henderson, C. M. Schober

Research output: Contribution to journalArticle

55 Scopus citations

Abstract

Modulated deep-water 1D Stokes waves are considered experimentally and theoretically. Wave trains are modulated in a controlled fashion and their evolution is recorded. Data from repeated laboratory experiments are reproducible near the wave maker, but diverge away from the wave maker. Numerical integration of a perturbed nonlinear Schrödinger equation and an associated linear spectral problem indicate that under suitable conditions modulated periodic Stokes waves evolve chaotically. Sensitive spectral evolution in the neighborhood of homoclinic manifolds of the unperturbed nonlinear Schrödinger equation is found.

Original languageEnglish (US)
Pages (from-to)887-890
Number of pages4
JournalPhysical Review Letters
Volume84
Issue number5
DOIs
Publication statusPublished - Jan 31 2000

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this