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nlin.SI2007
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 $\sn$, $\cn$,…
nlin.SI2007★ 18 cited
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…