54 citations · 142 across the 13 of their papers we have counts for
4 papers · 1 filter
Density Distribution in Soft Matter Crystals and Quasicrystals
Priya Subramanian, Daniel J. Ratliff, Alastair M. Rucklidge +1
The density distribution in solids is often represented as a sum of Gaussian peaks (or similar functions) centred on lattice sites or via a Fourier sum. Here, we argue that represe…
Genuine Nonlinearity and its Connection to the Modified Korteweg - de Vries Equation in Phase Dynamics
Daniel James Ratliff
The study of hyperbolic waves involves various notions which help characterise how these structures evolve. One important facet is the notion of \emph{genuine nonlinearity}, namely…
Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory
Thomas J. Bridges, Daniel J. Ratliff
The multiphase Whitham modulation equations with phases have characteristics which may be of hyperbolic or elliptic type. In this paper a nonlinear theory is developed for…
Spatiotemporal chaos and quasipatterns in coupled reaction-diffusion systems
Jennifer K. Castelino, Daniel J. Ratliff, Alastair M. Rucklidge +2
In coupled reaction-diffusion systems, modes with two different length scales can interact to produce a wide variety of spatiotemporal patterns. Three-wave interactions between the…