A second-order solution for the solitary wave in a rotational flow
- 1 July 1989
- journal article
- Published by AIP Publishing in Physics of Fluids A: Fluid Dynamics
- Vol. 1 (7) , 1235-1239
- https://doi.org/10.1063/1.857346
Abstract
A second-order solution for the solitary wave in a rotational flow is derived. This would serve as the leading-order correction to the Korteweg–de Vries (KdV) soliton. Coefficients for the higher-order KdV equation are found from a sequence of boundary value problems. Their explicit numerical values are given for the simple example of a linear shear.This publication has 14 references indexed in Scilit:
- On a series expansion for the solitary waveJournal of Fluid Mechanics, 1987
- Stability of finite-amplitude interfacial waves. Part 3. The effect of basic current shear for one-dimensional instabilitiesJournal of Fluid Mechanics, 1986
- A seventeenth-order series expansion for the solitary waveJournal of Fluid Mechanics, 1984
- Accurate computations for steep solitary wavesJournal of Fluid Mechanics, 1983
- Limiting gravity waves in water of finite depthPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1981
- Solitary WavesAnnual Review of Fluid Mechanics, 1980
- The Korteweg–deVries Equation: A Survey of ResultsSIAM Review, 1976
- On the Highest and Other Solitary WavesSIAM Journal on Applied Mathematics, 1975
- On the mass, momentum, energy and circulation of a solitary wave. IIProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1974
- A ninth-order solution for the solitary waveJournal of Fluid Mechanics, 1972