Abstract
Symmetry and monotonicity properties of solitary water-waves of positive elevation with supercritical values of parameter are established for an arbitrary vorticity. The proof uses the detailed knowledge of asymptotic decay of supercritical solitary waves at infinity and the method of moving planes.
Original language | English (US) |
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Pages (from-to) | 491-509 |
Number of pages | 19 |
Journal | Mathematical Research Letters |
Volume | 15 |
Issue number | 2-3 |
DOIs | |
State | Published - 2008 |
Externally published | Yes |
Keywords
- Maximum principles
- Moving planes
- Solitary
- Symmetry
- Vorticity
- Water waves
ASJC Scopus subject areas
- General Mathematics