RT Journal Article
T1 Kink stability, propagation, and length-scale competition in the periodically modulated sine-Gordon equation
A1 Sánchez, Angel
A1 Bishop, Alan R.
A1 Domínguez-Adame, Francisco
AB We have examined the dynamical behavior of the kink solutions of the one-dimensional sineGordonequation in the presence of a spatially periodic parametric perturbation. Our study clarifiesand extends the currently available knowledge on this and related nonlinear problems in four directions.First, we present the results of a numerical simulation program that are not compatiblewith the existence of a radiative threshold predicted by earlier calculations. Second, we carry out aperturbative calculation that helps interpr~t those previous predictions, enabling us to understandin depth our numerical results. Third, we apply the collective coordinate formalism to this systemand demonstrate numerically that it reproduces accurately the observed kink dynamics. Fourth,we report on the occurrence of length-scale competition in this system and show how it can beunderstood by means of linear stability analysis. Finally, we conclude by summarizing the generalphysical framework that arises from our study.
PB American Physical Society
SN 1539-3755 (print version)
SN 1550-2376 (online version)
YR 1994
FD 1994-05
LK https://hdl.handle.net/10016/15103
UL https://hdl.handle.net/10016/15103
LA eng
NO A.S. is supported by the Ministerio de Educaci6n y Ciencia (Spain) and the Fulbright Fund, by Direcci6n General de Investigaci6n Cientffica y Tecnica (Spain) through Project No. PB92-0378, and by the European Union (Network on Nonlinear Spatio-Temporal Structures in Semiconductor, Fluids, and Oscillator Ensembles). He also thanks the Los Alamos National Laboratory for warm hospitality and a productive atmosphere. Work at Los Alamos is performed under the auspices of the U.S. Department of Energy.
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RD 2 may. 2024