Symmetry and decay of traveling wave solutions to the Whitham equation
Journal article
Submitted version
Permanent lenke
http://hdl.handle.net/11250/2466730Utgivelsesdato
2017Metadata
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- Institutt for matematiske fag [2474]
- Publikasjoner fra CRIStin - NTNU [38289]
Originalversjon
Journal of Differential Equations. 2017, 262 (8), 4232-4254. 10.1016/j.jde.2017.01.011Sammendrag
This paper is concerned with decay and symmetry properties of solitary-wave solutions to a nonlocal shallow-water wave model. An exponential decay result for supercritical solitary-wave solutions is given. Moreover, it is shown that all such solitary-wave solutions are symmetric and monotone on either side of the crest. The proof is based on the method of moving planes. Furthermore, a close relation between symmetric and traveling-wave solutions is established.