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Stable autosolitons in dispersive media with saturable gain and absorption | | Boris Malomed
; Andrei Vladimirov
; Galina Khodova
; Nikolay Rosanov
; | | Date: |
4 Sep 2000 | | Subject: | Pattern Formation and Solitons | nlin.PS | | Affiliation: | Dept. if Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv, Israel), Andrei Vladimirov (St.Petersburg State University, Physics Faculty, 1 Ulianovskaya st, St.Petersburg, Russia), Galina Khodova and Nikolay Rosanov (Insti | | Abstract: | We introduce the simplest one-dimensional model of a dispersive optical medium with saturable dissipative nonlinearity and filtering (dispersive loss) which gives rise to stable solitary pulses (autosolitons). In the particular case when the dispersive loss is absent, the same model may also be interpreted as describing a stationary field in a planar optical waveguide with uniformly distributed saturable gain and absorption. In a certain region of the model’s parameter space, two coexisting solitary-pulse solutions are found numerically, one of which may be stable. Solving the corresponding linearized eigenvalue problem, we identify stability borders for the solitary pulses in their parametric plane. Beyond one of the borders, the symmetric pulse is destroyed by asymmetric perturbations, and at the other border it undergoes a Hopf bifurcation, which may turn it into a breather. | | Source: | arXiv, nlin.PS/0009011 | | Services: | Forum | Review | PDF | Favorites | |
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