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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…