AMCA: Qualitative Comparisons Between Physical Experiments of Waves on Deep Water and Perturbed Solutions of NLS by John Carter

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Workshop on Patterns in Physics
November 14-18, 2003
The Fields Institute
Toronto, ON, Canada

Organizers
R. Almgren, N. Ercolani, D. Henderson, J. Lega, M. Pugh

Qualitative Comparisons Between Physical Experiments of Waves on Deep Water and Perturbed Solutions of NLS
by
John Carter
Seattle University
Coauthors: Diane Henderson and Harvey Segur

The cubic nonlinear Schrodinger equation in (2+1)-dimensions (NLS) can be used as an approximate model of waves on deep water. A large class of two-dimensional surface wave patterns can be approximately represented by Jacobi elliptic function solutions of NLS. These solutions are linearly unstable with respect to multiple transverse perturbations. We present a qualitative comparison between the time evolution of the perturbed solutions in NLS and physical experiments conducted in a wave tank at Pennsylvania State University.

Date received: October 9, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # camh-29.