20 citations · 20 across the 2 of their papers we have counts for
3 papers
math.AP2022
Transverse dynamics of two-dimensional traveling periodic gravity-capillary water waves
Mariana Haragus, Tien Truong, Erik Wahlén
We study the transverse dynamics of two-dimensional traveling periodic waves for the gravity--capillary water-wave problem. The governing equations are the Euler equations for the…
math.AP2021
Solitary waves in a Whitham equation with small surface tension
Mathew A. Johnson, Tien Truong, Miles H. Wheeler
Using a nonlocal version of the center manifold theorem and a normal form reduction, we prove the existence of small-amplitude generalized solitary-wave solutions and modulated sol…
math.AP2020★ 20 cited
Global bifurcation of solitary waves for the Whitham equation
Tien Truong, Erik Wahlén, Miles H. Wheeler
The Whitham equation is a nonlocal shallow water-wave model which combines the quadratic nonlinearity of the KdV equation with the linear dispersion of the full water wave problem.…