30 citations · 49 across the 7 of their papers we have counts for
8 papers
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…
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…
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…
Proof of the transverse instability of Stokes waves
Ryan P. Creedon, Huy Q. Nguyen, W. 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…
A High-Order Asymptotic Analysis of the Benjamin-Feir Instability Spectrum in Arbitrary Depth
Ryan Creedon, Bernard Deconinck
We investigate the Benjamin-Feir (or modulational) instability of Stokes waves, i.e., small-amplitude, one-dimensional periodic gravity waves of permanent form and constant velocit…
High-Frequency Instabilities of Stokes Waves
Ryan Creedon, Bernard Deconinck, Olga Trichtchenko
Euler's equations govern the behavior of gravity waves on the surface of an incompressible, inviscid, and irrotational fluid of arbitrary depth. We investigate the spectral stabili…
High-Frequency Instabilities of a Boussinesq-Whitham System: A Perturbative Approach
Ryan Creedon, Bernard Deconinck, Olga Trichtchenko
We analyze the spectral stability of small-amplitude, periodic, traveling-wave solutions of a Boussinesq-Whitham system. These solutions are shown numerically to exhibit high-frequ…
High-Frequency Instabilities of the Kawahara Equation: A Perturbative Approach
Ryan Creedon, Bernard Deconinck, Olga Trichtchenko
We analyze the spectral stability of small-amplitude, periodic, traveling-wave solutions of the Kawahara equation. These solutions exhibit high-frequency instabilities when subject…