3 papers
math.AP2024
Periodically modulated solitary waves of the CH-KP-I equation
Dag Nilsson, Douglas Svensson Seth, Yuexun Wang
We consider the CH-KP-I equation. For this equation we prove the existence of steady solutions, which are solitary in one horizontal direction and periodic in the other. We show th…
math.AP2024
Asymmetric travelling wave solutions of the capillary-gravity Whitham Equation
Ola Mæhlen, Douglas Svensson Seth
By a bifurcation argument we prove that the capillary-gravity Whitham equation features asymmetrical periodic travelling wave solution of arbitrarily small amplitude. Such waves ex…
math.AP2023
Internal doubly periodic gravity-capillary waves with vorticity
Douglas Svensson Seth
We consider a multi-fluid system with several free interfaces. For this system we prove existence of three-dimensional steady gravity-capillary waves with non-zero vorticity. We ob…