Origin of Multikinks in Dispersive Nonlinear Systems
Abstract
We develop {\em the first analytical theory of multikinks} for strongly {\em 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 {\em discrete sets} of
2πN
-kinks for all N>1. We also show their bifurcation structure in driven damped systems.