title: High-speed kinks in a generalized discrete phi4 model.
abstract: We consider a generalized discrete phi4 model and demonstrate that it can support exact moving kink solutions in the form of tanh with an arbitrarily large velocity. The constructed exact moving solutions are dependent on the specific value of the propagation velocity. We demonstrate that in this class of models, given a specific velocity, the problem of finding the exact moving solution is integrable. Namely, this problem originally expressed as a three-point map can be reduced to a two-point map, from which the exact moving solutions can be derived iteratively. It was also found that these high-speed kinks can be stable and robust against perturbations introduced in the initial conditions.
authors.affiliation: Institute for Metals Superplasticity Problems RAS, 39 Khalturina, Ufa 450001, Russia.
authors.forename: Sergey V
authors.initials: SV
authors.lastname: Dmitriev
authors.forename: Avinash
authors.initials: A
authors.lastname: Khare
authors.forename: Panayotis G
authors.initials: PG
authors.lastname: Kevrekidis
authors.forename: Avadh
authors.initials: A
authors.lastname: Saxena
authors.forename: Ljupćo
authors.initials: L
authors.lastname: Hadzievski