Kink shape modes and resonant dynamics in sine-lattices

✍ Scribed by Fei Zhang

• Book ID: 104297287
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 621 KB
• Volume: 110
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(97)00113-9

✦ Synopsis

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.