Origin of multikinks in dispersive nonlinear systems
We develop the 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 2 π kinks for this model, but there exist discrete sets of 2 πN kinks for all N > 1. We also show their bifurcation structure in driven damped systems.
|Collections||ANU Research Publications|
|Source:||Physical Review E|