The Stability of Solitary Waves of Depression

In Theorem B.1, we prove the existence of a surface of small-amplitude traveling wave solutions of the point vortex problem, parametrized by the vortex strength and the depth of

It was shown by Ehrnstr¨ om, Groves & Wahl´en [10] that the Whitham equation admits small-amplitude solitary-wave solutions which are approximated by scalings of the