3 papers
math.AP2026
Sheets of Spectral Data of Stokes Waves in Weakly Nonlinear Models
Benjamin Akers, Ryan P. Creedon
We study the spectral stability of small-amplitude Stokes waves in a family of weakly nonlinear, unidirectional models of the form . We introduce a perturb…
math.AP2026
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 z…
math.AP2026
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…