On a class of self-similar 2D surface water waves
Abstract
We construct a class of self-similar surface water waves and study its properties. This class of surface waves appears to be in very good agreement with a common type of wave crests in the ocean.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2012
- DOI:
- 10.48550/arXiv.1206.2208
- arXiv:
- arXiv:1206.2208
- Bibcode:
- 2012arXiv1206.2208W
- Keywords:
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- Mathematics - Analysis of PDEs;
- Mathematical Physics
- E-Print:
- In version 1, $g$ was used both as gravity and the function in system (3.12). This misuse of notation is corrected