On the Theory of Water Waves.
Abstract
The purpose of the paper is to formulate a two-dimensional theory for the propagation of fairly long water waves. The approach differs from the usual in that the theory is set up via two-dimensional postulates. Subsequently, it is shown how a simple three-dimensional approximation enables us to relate the two-dimensional theory to the three-dimensional theory. The resulting equations are used to discuss the unidirectional propagation of waves. It is shown how the results obtained from the theory proposed here are related to the results of Korteweg and de Vries (1895) and to those of Benjamin, Bona and Mahony (1972). (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1974
- Accession Number
- AD0779329
Entities
People
- Alex E.S. Green
- N. Laws
- Paul M. Naghdi
Organizations
- University of California, Berkeley