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 languageEnglish
Publication statusPublished - 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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