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.
Ring wave solutions of a n+1-dimensional Sine-Gordon model
FRONZONI, LEONE;
1997-01-01
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
