142 citations · 224 across the 8 of their papers we have counts for
5 papers · 1 filter
Solitons in a parametrically driven damped discrete nonlinear Schrödinger equation
M. Syafwan, H. Susanto, S. M. Cox
We consider a parametrically driven damped discrete nonlinear Schrödinger (PDDNLS) equation. Analytical and numerical calculations are performed to determine the existence and stab…
The Nikolaevskiy equation with dispersion
Eman Simbawa, Paul C. Matthews, Stephen M. Cox
The Nikolaevskiy equation was originally proposed as a model for seismic waves and is also a model for a wide variety of systems incorporating a neutral, Goldstone mode, including…
Pattern formation in the damped Nikolaevskiy equation
S. M. Cox, P. C. Matthews
The Nikolaevskiy equation has been proposed as a model for seismic waves, electroconvection and weak turbulence; we show that it can also be used to model transverse instabilities…
A bistable reaction--diffusion system in a stretching flow
Stephen M. Cox, Georg A. Gottwald
We examine the evolution of a bistable reaction in a one-dimensional stretching flow, as a model for chaotic advection. We derive two reduced systems of ordinary differential equat…
Pattern formation with a conservation law
P. C. Matthews, S. M. Cox
Pattern formation in systems with a conserved quantity is considered by studying the appropriate amplitude equations. The conservation law leads to a large-scale neutral mode that…