Champneys, AlanKivshar, Yuri2015-12-132015-12-131063-651Xhttp://hdl.handle.net/1885/89266We 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.20002015-12-12