Origin of multikinks in nonlinear dispersive systems

AR Champneys; YS Kivshar

Origin of multikinks in nonlinear dispersive systems

Research output: Working paper › Working paper and Preprints

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Abstract

We develop the first analytical theory of multikinks in 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 the existence of discrete sets of 2\pi N-kinks, and also show their bifurcation structure in driven damped systems, in agreement with earlier reported numerical simulations.

Original language	English
Publication status	Published - 1999

Bibliographical note

Additional information: Preprint of a paper later published by the American Physical Society (2000), Physical Review E, 61(3), pp.2551-2554, ISSN 1063-651X

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http://hdl.handle.net/1983/546

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abstract = "We develop the first analytical theory of multikinks in 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 the existence of discrete sets of 2\pi N-kinks, and also show their bifurcation structure in driven damped systems, in agreement with earlier reported numerical simulations.",

author = "AR Champneys and YS Kivshar",

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AB - We develop the first analytical theory of multikinks in 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 the existence of discrete sets of 2\pi N-kinks, and also show their bifurcation structure in driven damped systems, in agreement with earlier reported numerical simulations.

M3 - Working paper and Preprints

BT - Origin of multikinks in nonlinear dispersive systems

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