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Origin of multikinks in dispersive nonlinear systems

Champneys, Alan; Kivshar, Yuri

Description

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.

CollectionsANU Research Publications
Date published: 2000
Type: Journal article
URI: http://hdl.handle.net/1885/89266
Source: Physical Review E

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