Origin of Multikinks in Dispersive Nonlinear Systems
Abstract
We develop the first analytical theory of multikinks for strongly dispersive nonlinear systems, considering the examples of the weakly discrete sine-Gordon model and the generalized Frenkel-Kontorova model with a piecewise parabolic potential. We reveal that there are no 2π-kinks for this model, but there exist discrete sets of 2π N-kinks for all N>1. We also show their bifurcation structure in driven damped systems.
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