27 citations · 98 across the 12 of their papers we have counts for
5 papers · 1 filter
Solitary waves and vortices in a Nonlinear Schrödinger equation with ponderomotive nonlinearity
D. K. Campbell, J. Cuevas-Maraver, R. Goh +1
In the present work we revisit a ponderomotive nonlinearity model used to examine self-trapped laser beams in plasma. Upon briefly considering the exact stationary 1D solutions of…
Patterned fronts in the wake of a parameter ramp in the complex Ginzburg Landau equation
Ryan Goh, Benjamin Krewson, Nilay Patel +1
We study of the formation of pattern-forming fronts in the presence of a rigidly-propagating parameter ramp which is slowly-varying in space. In the context of the prototypical sup…
Growing stripes, with and without wrinkles
M. Avery, R. Goh, O. Goodloe +2
We present results on stripe formation in the Swift-Hohenberg equation with a directional quenching term. Stripes are "grown" in the wake of a moving parameter step line, and we an…
Pattern-forming fronts in a Swift-Hohenberg equation with directional quenching - parallel and oblique stripes
Ryan Goh, Arnd Scheel
We study the effect of domain growth on the orientation of striped phases in a Swift-Hohenberg equation. Domain growth is encoded in a step-like parameter dependence that allows st…
Universal wavenumber selection laws in apical growth
Ryan Goh, Rajendra Beekie, Daniel Matthias +2
We study pattern-forming dissipative systems in growing domains. We characterize classes of boundary conditions that allow for defect-free growth and derive universal scaling laws…