7 citations · 18 across the 10 of their papers we have counts for
10 papers
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…
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 differen…
Parametric Resonance in the Non-Autonomous Sine-Gordon Model
Tomasz Dobrowolski, Jacek Gatlik, Zofia Bryłowska +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 Bryłowska +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…
Radial kinks in a Schwarzschild-like geometry
Jean-Guy Caputo, Tomasz Dobrowolski, Jacek Gatlik +1
We study the propagation of a domain wall (kink) of the model in a radially symmetric environment defined by a gravity source. This source deforms the standard Euclidian metr…
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…
An effective description of the impact of inhomogeneities on the movement of the kink front in 2+1 dimensions
Jacek Gatlik, Tomasz Dobrowolski, Panayotis G. Kevrekidis
In the present work we explore the interaction of a one-dimensional kink-like front of the sine-Gordon equation moving in 2-dimensional spatial domains. We develop an effective equ…
Kink-inhomogeneity interaction in the sine-Gordon model
Jacek Gatlik, Tomasz Dobrowolski, Panayotis G. Kevrekidis
In the present study the interaction of a sine-Gordon kink with a localized inhomogeneity is considered. In the absence of dissipation, the inhomogeneity considered is found to imp…
The impact of thermal noise on kink propagation through a heterogeneous system
Jacek Gatlik, Tomasz Dobrowolski
The impact of thermal noise on kink motion through the curved region of the long Josephson junction is studied. On the basis of the Fokker-Planck equation the analytical formula th…