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Floquet solitons in square lattices: Existence, Stability and Dynamics

In the present work, we revisit a recently proposed and experimentally realized topological 2D lattice with periodically time-dependent interactions. We identify the fundamental solitons, previously observed in experiments and direct numerical …

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 …