1999/11/19 by Alan Champneys, Yuri S. Kivshar · 1 citation
Physics and Astronomy · #patt-sol #nlin.PS
paper · pdf · doi:10.1103/physreve.61.2551
4 pages 5 figures. To appear in Phys Rev E
arxiv created 1999/11/19 · arxiv updated 2009/11/30
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.