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24 April 2024
 
  » arxiv » nlin.PS/0103014

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One- and two-dimensional solitons in saturable media
Boris V. Gisin ; Boris A. Malomed ;
Date 13 Mar 2001
Subject Pattern Formation and Solitons | nlin.PS
AffiliationDepartment of Electrical Engineering - Physical Electronics, Faculty of Engineering, Tel-Aviv University, Tel-Aviv, Israel) and Boris A. Malomed (Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv, Israel
AbstractVery narrow spatial bright solitons in (1+1)D and (2+1)D versions of cubic-quintic and full saturable models are studied, starting from the full system of the Maxwell’s equations, rather than from the paraxial (NLS) approximation. For the solitons with both TE and TM polarizations, it is shown that there always exists a finite minimum width, and they cease to exist at a critical value of the propagation constant, at which their width diverges. Full similarity of the results obtained for both nonlinearities suggests that the same general conclusions apply to narrow solitons in any non-Kerr model.
Source arXiv, nlin.PS/0103014
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