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math.AP2024
Existence of All Wilton Ripples of the Kawahara Equation
Ryan P. Creedon
We investigate the existence of Wilton ripple solutions of the Kawahara equation. Without loss of generality, these are -periodic, traveling-wave solutions whose profiles at ze…
math.AP2024
Transverse Instability of Stokes Waves at Finite Depth
Ryan P. Creedon, Huy Q. Nguyen, Walter A. Strauss
A Stokes wave is a traveling free-surface periodic water wave that is constant in the direction transverse to the direction of propagation. In 1981 McLean discovered via numerical…