title: Modulated periodic stokes waves in deep water
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 Schrodinger 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 Schrodinger equation is found.
authors.affiliation: Department of Applied Mathematics, University of Colorado, Boulder, Colorado 80309, USA.
authors.initials: MJ
authors.lastname: Ablowitz
authors.initials: J
authors.lastname: Hammack
authors.initials: D
authors.lastname: Henderson
authors.initials: CM
authors.lastname: Schober