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Multi-component structure of nonlinear excitations in systems with length-scale competition |
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| Authors: | PL Christiansen YB Gaididei FG Mertens SF Mingaleev |
| Institution: | Department of Mathematical Modelling, The Technical University of Denmark, 2800 Lyngby, Denmark, DK Bogolyubov Institute for Theoretical Physics, 03143 Kiev, Ukraine, UA Physikalisches Institut, Universit?t Bayreuth, 95440 Bayreuth, Germany, DE |
| Abstract: | We investigate the properties of nonlinear excitations in different types of soliton carrying systems with long-range dispersive interactions. We show that length-scale competition in such systems, universally results in a multi-component structure of nonlinear excitations which may lead to a new type of multistability: coexistence of different nonlinear excitations at the same value of the spectral parameter (i.e., velocity in the case of anharmonic lattices or frequency in nonlinear Schr?dinger models). Received 31 August 2000 and Received in final form 14 December 2000 |
| Keywords: | PACS 05 45 Yv Solitons – 02 70 Hm Spectral methods – 42 65 Pc Optical bistability multistability and switching |
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