Origin of Multikinks in Dispersive Nonlinear Systems
Alan Champneys, Yuri S. Kivshar
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 2πN-kinks for all N>1. We also show their bifurcation structure in driven damped systems.
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