Solitary wave Solutions of a fifth order model equation for steady capillary-gravity waves over a bump with the Bond number near 1/3

摘要

The objective of this paper is to study the existence of solitary wave solutions of a fifth order model equation for steady capillary-gravity waves over a bump with the Bond number near 1/3. We proved that there exist solitary wave solutions of the model equation for a sufficiently smooth compact bump.