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Existence of internal modes of sine-Gordon kinks

2000/06/21 by Niurka R. Quintero, Ángel Sánchez, Angel Sanchez +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #cond-mat.stat-mech #cond-mat.supr-con #math-ph #math.MP #nlin.PS

paper · pdf · doi:10.1103/physreve.62.r60

4 pages, 2 figures, REVTeX, to appear as a Rapid Communication in Phys Rev E (July 1st)

arxiv created 2000/06/21 · openalex publication_date 2000/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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