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- Publisher
- Springer Journals
- Copyright
- 2007 Springer-Verlag
- ISSN
- 0567-7718
- eISSN
- 1614-3116
- DOI
- 10.1007/s10409-007-0062-9
- Publisher site
- See Article on Publisher Site
Abstract
Abstract Shallow water waves and a host of long wave phenomena are commonly investigated by various models of nonlinear evolution equations. Examples include the Korteweg–de Vries, the Camassa–Holm, and the Whitham–Broer–Kaup (WBK) equations. Here a generalized WBK system is studied via the multi-linear variable separation approach. A special class of wave profiles with discontinuous derivatives (“peakons”) is developed. Peakons of various features, e.g. periodic, pulsating or fractal, are investigated and interactions of such entities are studied.
Journal
"Acta Mechanica Sinica" – Springer Journals
Published: Apr 1, 2007