Nonlinear Gravity-Capillary Standing Waves in Water of Arbitrary Uniform Depth.
Abstract
Gravity-capillary standing waves in water of arbitrary uniform depth are considered. The classical perturbation calculation yields unbounded coefficients for some critical values of the depth. A perturbation solution valid at the first critical value of the depth is derived. It is found that two solutions exist at this critical value. Numerical computations indicate that these solutions are members of two different families of solutions. Graphs of the results are included. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1982
- Accession Number
- ADA118597
Entities
People
- Jean-marc Vanden-broeck
Organizations
- University of Wisconsin–Madison