On the existence of internal modes of sine-Gordon kinks
Quintero, Niurka R. ; Sanchez, Angel ; Mertens, Franz G.
arXiv, 0006314 / Harvested from arXiv
Text on arXiv
We study whether or not sine-Gordon kinks exhibit internal modes or ``quasimodes.'' By considering the response of the kinks to ac forces and initial distortions, we show that neither intrinsic internal modes nor ``quasimodes'' exist in contrast to previous reports. However, we do identify a different kind of internal mode bifurcating from the bottom edge of the phonon band which arises from the discretization of the system in the numerical simulations, thus confirming recent predictions.
Publié le : 2000-06-21
Classification:  Condensed Matter - Statistical Mechanics,  Condensed Matter - Superconductivity,  Mathematical Physics,  Nonlinear Sciences - Pattern Formation and Solitons 
@article{0006314,
     author = {Quintero, Niurka R. and Sanchez, Angel and Mertens, Franz G.},
     title = {On the existence of internal modes of sine-Gordon kinks},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0006314}
}

Quintero, Niurka R.; Sanchez, Angel; Mertens, Franz G. On the existence of internal modes of sine-Gordon kinks. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0006314/