Solitary wave packets beneath a compressed ice cover
- Authors: Il’ichev A.T.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 51, No 3 (2016)
- Pages: 327-337
- Section: Article
- URL: https://journals.rcsi.science/0015-4628/article/view/155188
- DOI: https://doi.org/10.1134/S0015462816030042
- ID: 155188
Cite item
Abstract
A family of plane solitary wave packets of a small (but finite) amplitude on the surface of an ideal incompressible fluid of finite depth beneath an ice cover is described. The solitary wave trains correspond to solutions of the two-dimensional system of Euler’s equations of an ideal incompressible fluid of the type of a traveling wave which decreases at infinity and has identical phase and group velocities. The ice cover is simulated by an elastic Kirchhoff-Love plate freely floating on the fluid surface in the compressed state.
Keywords
About the authors
A. T. Il’ichev
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: illichev@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
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