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Standing Wave Solutions in Twisted Multicore Fibers

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 of energy. Numerical parameter continuation experiments demonstrate …

The Stability of the b-family of Peakon Equations

In the present work we revisit the b-family model of peakon equations, containing as special cases the b=2 (Camassa-Holm) and b=3 (Degasperis-Procesi) integrable examples. We establish information about the point spectrum of the peakon solutions and …

Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry

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 Korteweg-de Vries equation is a prototypical example. We use Lin's …