Symmetry of solitary waves
- 1 January 1988
- journal article
- research article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 13 (5) , 603-633
- https://doi.org/10.1080/03605308808820554
Abstract
It is shown that all supercritical solitary wave solutions to the equations for water waves are symmetric, and monotone on either side of the crest. The proof is based on the Alexandrov method of moving planes. Further a priori estimates, and asymptotic decay properties of solutions are derivedKeywords
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