High-speed kinks in a generalized discrete $ϕ^4$ model

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dc.creatorDmitriev, Sergey V.
dc.creatorKhare, Avinash
dc.creatorKevrekidis, Panayotis G.
dc.creatorSaxena, Avadh
dc.creatorHadzievski, Ljupco
dc.date2008-02-17
dc.date.accessioned2026-07-07T11:56:06Z
dc.date.available2026-07-07T11:56:06Z
dc.descriptionWe consider a generalized discrete $ϕ^4$ 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.
dc.description10 pages, 5 figures, submitted to a journal
dc.identifierhttps://arxiv.org/abs/0802.2375
dc.identifierhttp://arxiv.org/abs/0802.2375
dc.identifierPhys.Rev.E77:056603,2008
dc.identifierdoi:10.1103/PhysRevE.77.056603
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205472
dc.subjectExactly Solvable and Integrable Systems
dc.titleHigh-speed kinks in a generalized discrete $ϕ^4$ model
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