| > Oceanography > Issues > Archive > Volume 20, Number 4 |
2007, Oceanography 20(4):175–177, http://dx.doi.org/10.5670/oceanog.2007.24
Book Information | Reviewers | First Paragraph | Full Review | Citation
Solitary Waves in Fluids
Edited by R.H.J. Grimshaw, WIT Press, 2007, 208 pages, ISBN 9781845641573, Hardback, $130 US
Quanan Zheng | Department of Atmospheric and Oceanic Science, University of Maryland, College Park, Maryland, USA
R. Dwi Susanto | Indonesian Research Coordination, Lamont-Doherty Earth Observatory of Columbia University, Palisades, New York, USA
It has been 160 years since the first recorded observation of a solitary water wave in a canal, which British scientist John Scott Russell saw while riding on horseback. Since then, many beautiful and applicable results of the physics and mathematics of solitary waves have appeared. Among them, several are noteworthy: the single soliton solution to the Korteweg-de Vries (KdV) equation (Korteweg and de Vries, 1895), the dnoidal solution (solitary wave packet) to the KdV equation (Gurevich and Pitaevskii, 1973), and analytical and numerical solutions to the perturbed and forced KdV (PKdV and fKdV) equations (Newell, 1985; Wu, 1987; Shen, 1993). Continuous emergence of fresh results in recent years suggests that it is still a brisk field.
Zheng, Q., and R.D. Susanto. 2007. Review of Solitary Waves in Fluids, edited by R.H.J. Grimshaw. Oceanography 20(4):175–177, http://dx.doi.org/10.5670/oceanog.2007.24.