42 citations · 79 across the 5 of their papers we have counts for
3 papers · 1 filter
High-speed kinks in a generalized discrete model
Sergey V. Dmitriev, Avinash Khare, Panayotis G. Kevrekidis +2
We consider a generalized discrete model and demonstrate that it can support exact moving kink solutions in the form of tanh with an arbitrarily large velocity. The construct…
Exact Static Solutions of a Generalized Discrete ϕ^4 Model Including Short-Periodic Solutions
Avinash Khare, Sergey V. Dmitriev, Avadh Saxena
For a five-parameter discrete model, we derive various exact static solutions, including the staggered ones, in the form of the basic Jacobi elliptic functions $\sn$, $\cn$,…
Exact static solutions to a translationally invariant discrete model
Sergey V. Dmitriev, Panayotis G. Kevrekidis, Avinash Khare +1
For a discrete, translationally-invariant model introduced by Barashenkov {\it et al.} [Phys. Rev. E {\bf 72}, 35602R (2005)], we provide the momentum conservation law and de…