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

29 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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title = "Origin of multikinks in dispersive nonlinear systems",

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.",

author = "Alan Champneys and Kivshar, \{Yuri S.\}",

year = "2000",

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AU - Kivshar, Yuri S.

PY - 2000

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N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0001377094

U2 - 10.1103/PhysRevE.61.2551

DO - 10.1103/PhysRevE.61.2551

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VL - 61

SP - 2551

EP - 2554

JO - Physical Review E

JF - Physical Review E

IS - 3

ER -

Origin of multikinks in dispersive nonlinear systems

Abstract

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