The Convergence of Periodic Waves to Solitary Waves in the Long Wave Limit.
Abstract
It is shown that large amplitude solitary water-waves arise as the limit of periodic waves whose wavelengths increases indefinitely. This results is obtained after a new version of the Nekrasov integral equation for periodic waves has been derived. Its resemblance to the equation for solitary waves (1) leads to this convergence results once the global existence proof for solitary waves given in (1) has been taken into account. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1980
- Accession Number
- ADA086370
Entities
People
- J. F. Toland
Organizations
- University of Wisconsin–Madison