| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5774249 | Journal of Differential Equations | 2017 | 23 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Gabriele Bruell, Mats Ehrnström, Long Pei,