Solitary Waves in the One- and Two-Fluid Systems
Author:
- Robert R. LongRLRobert R. Long
Open Access
- 1 January 1956
- journal article
- Published by Stockholm University Press in Tellus
- Vol. 8 (4) , 460-471
Abstract
A theoretical discussion is given of the solitary wave. Part I is concerned with the wave on a water surface; Part II considers the solitary wave at the interface of two superimposed liquids of different density, bounded above and below by rigid surfaces. In Part I higher approximations are obtained for the speed of propagation, and limits to the wave speed are derived from the momentum theorem. The results include a correction to the second approximation of Weinstein. In Part II the first two approximations to the wave speed are derived. The equations of the second approximation yield limits on the wave amplitude.Keywords
This publication has 8 references indexed in Scilit:
- The Atmospheric Solitary WaveBulletin of the American Meteorological Society, 1955
- The existence of solitary wavesCommunications on Pure and Applied Mathematics, 1954
- On cnoidal waves and boresProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1954
- Characteristics of internal solitary wavesJournal of Research of the National Bureau of Standards, 1953
- The theory of symmetrical gravity waves of finite amplitude II. The solitary waveProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1952
- The theory of symmetrical gravity waves of finite amplitude. IProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1951
- XXXIX. On the highest wave of permanent typeJournal of Computers in Education, 1894
- VII. On the solitary waveJournal of Computers in Education, 1891