Solitary wave solutions to a class of Whitham-Boussinesq systems
Analysis of PDEs
2019-04-23 v2
Abstract
In this note we study solitary wave solutions of a class of Whitham-Boussinesq systems which includes the bi-directional 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 Ehrnstr\"om, Groves and Wahl\'en. In that paper the authors prove the existence of solitary wave solutions using a constrained minimization argument adapted to noncoercive functionals, developed by Buffoni, Groves and Wahl\'en, together with the concentration-compactness principle.
Keywords
Cite
@article{arxiv.1810.03405,
title = {Solitary wave solutions to a class of Whitham-Boussinesq systems},
author = {Dag Nilsson and Yuexun Wang},
journal= {arXiv preprint arXiv:1810.03405},
year = {2019}
}