Solitary wave solutions to a class of Whitham–Boussinesq systems
Zeitschrift fur Angewandte Mathematik und Physik, ISSN: 0044-2275, Vol: 70, Issue: 3
2019
- 11Citations
- 5Captures
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Article Description
In this note, we study solitary wave solutions of a class of Whitham–Boussinesq systems which include the bidirectional Whitham system as a special example. The travelling wave version of the evolution system can be reduced to a single evolution equation, similar to a class of equations studied by Ehrnström et al. (Nonlinearity 25:2903–2936, 2012). In that paper, the authors prove the existence of solitary wave solutions using a constrained minimization argument adapted to noncoercive functionals, developed by Buffoni (Arch Ration Mech Anal 173:25–68, 2004), Groves and Wahlén (J Math Fluid Mech 13:593–627, 2011), together with the concentration–compactness principle.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85064047021&origin=inward; http://dx.doi.org/10.1007/s00033-019-1116-0; http://link.springer.com/10.1007/s00033-019-1116-0; http://link.springer.com/content/pdf/10.1007/s00033-019-1116-0.pdf; http://link.springer.com/article/10.1007/s00033-019-1116-0/fulltext.html; https://dx.doi.org/10.1007/s00033-019-1116-0; https://link.springer.com/article/10.1007/s00033-019-1116-0
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