title: Kink-antikink collisions in the φ⁶ model.
abstract: We study kink-antikink collisions in the one-dimensional nonintegrable scalar φ⁶ model. Although the single-kink solutions for this model do not possess an internal vibrational mode, our simulations reveal a resonant scattering structure, thereby providing a counterexample to the standard belief that the existence of such a mode is a necessary condition for multibounce resonances in general kink-antikink collisions. We investigate the two-bounce windows in detail, and present evidence that this structure is caused by the existence of bound states in the spectrum of small oscillations about a combined kink-antikink configuration.
authors.affiliation: Department of Mathematical Sciences, Durham University, United Kingdom.
authors.forename: Patrick
authors.initials: P
authors.lastname: Dorey
authors.forename: Kieran
authors.initials: K
authors.lastname: Mersh
authors.forename: Tomasz
authors.initials: T
authors.lastname: Romanczukiewicz
authors.forename: Yasha
authors.initials: Y
authors.lastname: Shnir