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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 …

Multi-pulse solitary waves in a fourth-order nonlinear Schrödinger equation

In the present work, we consider the existence and spectral stability of multi-pulse solitary wave solutions to a nonlinear Schrödinger equation with both fourth and second order dispersion terms. We first give a criterion for the existence of a …