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Origin of multikinks in dispersive nonlinear systems

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Date

2000

Authors

Champneys, Alan
Kivshar, Yuri

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Publisher

American Physical Society

Abstract

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.

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Citation

URI

http://hdl.handle.net/1885/89266

Collections

ANU Research Publications

Source

Physical Review E

Type

Journal article

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