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Title: Kink shape modes and resonant dynamics in sine-lattices
Authors: Zhang, F. 
Keywords: Kink internal modes
Resonant collisions
Issue Date: 1997
Citation: Zhang, F. (1997). Kink shape modes and resonant dynamics in sine-lattices. Physica D: Nonlinear Phenomena 110 (1-2) : 51-61. ScholarBank@NUS Repository.
Abstract: We consider two sine-lattice models which support topological solitary waves (kinks). In the continuum limit the models are similar to the integrable sine-Gordon equation. In the weak discrete regime, however, the kinks in the sine-lattices are found to possess a low-frequency internal shape mode. It is demonstrated that such shape modes can also give rise to remarkable resonance phenomena in kink-antikink collisions in the discrete sine-lattice models. We highlight some new features (such as one-bounce resonances) in the present resonance structures. Copyright © 1997 Elsevier Science B.V. All rights reserved.
Source Title: Physica D: Nonlinear Phenomena
ISSN: 01672789
Appears in Collections:Staff Publications

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