4 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…
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…