7 papers
Blocking of 2D bistable reaction-diffusion fronts by obstacles
J. -G. Caputo, G. Cruz-Pacheco, J. Gatlik +1
We investigate numerically the blocking of two-dimensional bistable reaction diffusion fronts by geometric obstacles. Our goal is to derive quantitative criteria for front propagat…
Collective coordinate descriptions of a kink in a driven-damped model
Jacek Gatlik, Tomasz Dobrowolski, Jean-Guy Caputo +1
Extending a recent effective theory formulation for the dynamics of kinks in the sine-Gordon model [1], we propose an analogous effective description of kinks. Three differe…
Front propagation in non-homogeneous model
Jacek Gatlik, Tomasz Dobrowolski, Dominika Lasa +1
We investigate the propagation of fronts in an inhomogeneous medium within the framework of the model. The inhomogeneity is modeled either as an interface separating regions…
Parametric Resonance in the Non-Autonomous Sine-Gordon Model
Tomasz Dobrowolski, Jacek Gatlik, Zofia BryÅowska +1
The sine-Gordon model is studied with model parameters that depend on both space and time. An effective model with one degree of freedom is constructed, allowing the description of…
Kink Dynamics in a Non-Autonomous Sine-Gordon Model
Tomasz Dobrowolski, Jacek Gatlik, Zofia BryÅowska +1
The sine-Gordon model with space- and time-dependent parameters is considered. A highly accurate effective model with two degrees of freedom is constructed, allowing the descriptio…
Kink movement on a periodic background
Tomasz Dobrowolski, Jacek Gatlik, Panayotis G. Kevrekidis
The behavior of the kink in the sine-Gordon (sG) model in the presence of periodic inhomogeneity is studied. An ansatz is proposed that allows for the construction of a reliable ef…