Encyclopedia of Complexity and Systems Science

Living Edition
| Editors: Robert A. Meyers

Solitons, Tsunamis and Oceanographical Applications of

  • M. Lakshmanan
Living reference work entry
DOI: https://doi.org/10.1007/978-3-642-27737-5_509-3

Definition of the Subject

Surface and internal gravity waves arising in various oceanographic conditions are natural sources where one can identify/observe the generation, formation, and propagation of solitary waves and solitons. Unlike the standard progressive waves of linear dispersive type, solitary waves are localized structures with long wavelengths and finite energies and propagate without change of speed or form and are patently nonlinear entities. The earliest scientifically recorded observation of a solitary wave was made by John Scott Russel in August 1834 in the Union Canal connecting the Scottish cities of Glasgow and Edinburgh. The theoretical formulation of the underlying phenomenon was provided by Korteweg and de Vries in 1895 who deduced the now-famous Korteweg-de Vries (KdV) equation admitting solitary wave solutions. With the insightful numerical and analytical investigations of Martin Kruskal and coworkers in the 1960s, the KdV solitary waves have been shown to...


Solitary Wave Rossby Wave Water Wave Tsunami Wave Solitary Wave Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Center for Nonlinear DynamicsBharathidasan UniversityTiruchirapalliIndia