54 citations · 142 across the 13 of their papers we have counts for
13 papers
Heteroclinic connections between finite-amplitude periodic orbits emerging from a codimension two singularity
Thomas J. Bridges, David J. B. Lloyd, Daniel J. Ratliff +1
Heteroclinic connections between two distinct hyperbolic periodic orbits in conservative systems are important in a wide range of applications. On the other hand, it is theoretical…
Rogue waves in extended Gross-Pitaevskii Models with a Lee-Huang-Yang correction
Sathyanarayanan Chandramouli, Simeon I. Mistakidis, Garyfallia C. Katsimiga +3
We explore the existence and dynamical generation of rogue waves (RWs) within a one dimensional quantum droplet bearing environment. RWs are computed by deploying a spacetime fixed…
Modulation leading to frequency downshifting of water waves in the vicinity of the Benjamin-Feir transition
Daniel J. Ratliff, Olga Trichtchenko, Thomas J. Bridges
For Stokes waves in finite depth within the neighbourhood of the Benjamin-Feir stability transition, there are two families of periodic waves, one modulationally unstable and the o…
The Nonlinear Evolution of Whistler-Mode Chorus Revisited: Modulation Instability as the Source of Tones
Daniel Ratliff, Oliver Allanson
We review the modulation stability of parallel propagating/field aligned Whistler Mode Chorus waves propagating in a warm plasma from a formal perspective with a focus on wave-part…
Reappraisal of Whitham's 1967 theory for wave-mean flow interaction in shallow water
Thomas J. Bridges, Daniel J. Ratliff
The modulation equations for Stokes waves in shallow water coupled to wave generated mean flow, derived in Whitham (1967), based on an averaged Lagrangian are revisited. Firstly, i…
Kink-antikink stripe interactions in the two-dimensional sine-Gordon equation
R. Carretero-Gonzalez, L. A. Cisneros-Ake, R. Decker +4
The main focus of the present work is to study quasi-one-dimensional kink-antikink stripes embedded in the two-dimensional sine-Gordon equation. Using variational techniques, we re…