Origin of Multikinks in Dispersive Nonlinear Systems

Details Origin of Multikinks in Dispersive Nonlinear Systems Origin of Multikinks in Dispersive Nonlinear Systems

1999-11-19

arxiv.org/abs/patt-sol/9911006v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages 5 figures. To appear in Phys Rev E

Scientific paper

10.1103/PhysRevE.61.2551

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 $2\pi$-kinks for this model, but there exist {\em discrete sets} of $2\pi N$-kinks for all N>1. We also show their bifurcation structure in driven damped systems.

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