36 citations · 102 across the 15 of their papers we have counts for
6 papers · 1 filter
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…
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…
The Stability of the -family of Peakon Equations
Efstathios G. Charalampidis, Ross Parker, Panayotis G. Kevrekidis +1
In the present work we revisit the -family model of peakon equations, containing as special cases the (Camassa-Holm) and (Degasperis-Procesi) integrable examples. We…
Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry
Ross Parker, Björn Sandstede
We consider the existence and spectral stability of periodic multi-pulse solutions in Hamiltonian systems which are translation invariant and reversible, for which the fifth-order…
Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems
Ross Parker, P. G. Kevrekidis, Björn Sandstede
In the present work, we consider the existence and spectral stability of multi-pulse solutions in Hamiltonian lattice systems. We provide a general framework for the study of such…
A reformulated Krein matrix for star-even polynomial operators with applications
Todd Kapitula, Ross Parker, Björn Sandstede
In its original formulation the Krein matrix was used to locate the spectrum of first-order star-even polynomial operators where both operator coefficients are nonsingular. Such op…