Origin of multikinks in dispersive nonlinear systems

Alan Champneys; Yuri S. Kivshar

doi:10.1103/PhysRevE.61.2551

Origin of multikinks in dispersive nonlinear systems

Alan Champneys, Yuri S. Kivshar

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

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 [Formula Presented] kinks for this model, but there exist discrete sets of [Formula Presented] kinks for all [Formula Presented] We also show their bifurcation structure in driven damped systems.

Original language	English
Pages (from-to)	2551-2554
Number of pages	4
Journal	Physical Review E
Volume	61
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.61.2551
Publication status	Published - 2000

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10.1103/PhysRevE.61.2551

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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 [Formula Presented] kinks for this model, but there exist discrete sets of [Formula Presented] kinks for all [Formula Presented] We also show their bifurcation structure in driven damped systems.",

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AB - 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 [Formula Presented] kinks for this model, but there exist discrete sets of [Formula Presented] kinks for all [Formula Presented] We also show their bifurcation structure in driven damped systems.

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Origin of multikinks in dispersive nonlinear systems

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