36 citations · 102 across the 15 of their papers we have counts for
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math.DS2021★ 8 cited
Stationary multi-kinks in the discrete sine-Gordon equation
Ross Parker, P. G. Kevrekidis, Alejandro Aceves
We consider the existence and spectral stability of static multi-kink structures in the discrete sine-Gordon equation, as a representative example of the family of discrete Klein-G…
math.DS2021★ 6 cited
Standing Wave Solutions in Twisted Multicore Fibers
Ross Parker, Alejando Aceves
In the present work, we consider the existence and spectral stability of standing wave solutions to a model for light propagation in a twisted multi-core fiber with no gain or loss…