The dynamical properties of the ring wave solutions of the model psi(tt)-del(n)(2) psi+sin psi + epsilon sin (psi/2) + alpha psi(t)= 0 (0 less than or equal to epsilon much less than 1,0 less than or equal to alpha much less than 1) are studied analytically and numerically for spatial dimension (n = 2,3). The model is obtained as a continuum approximation of a multidimensional Frenkel-Kontorowa lattice. We will show that in the case epsilon>0, alpha=0 (or alpha>0) the return effect of the ring wave does not occur only for well defined values of epsilon. It will be shown numerically that the dissipative perturbation alpha psi(t) (alpha>0) stabilizes both the velocity and the wave profile of the ring wave when the return effect does not occur, (C) 1997 American Institute of Physics.
|Autori:||Di Garbo A; Fronzoni L; Chillemi S|
|Titolo:||Ring wave solutions of a n+1-dimensional Sine-Gordon model|
|Anno del prodotto:||1997|
|Digital Object Identifier (DOI):||10.1063/1.166273|
|Appare nelle tipologie:||1.1 Articolo in rivista|