Journal
OPTIK
Volume 158, Issue -, Pages 1289-1294Publisher
ELSEVIER GMBH, URBAN & FISCHER VERLAG
DOI: 10.1016/j.ijleo.2018.01.020
Keywords
Nonautonomous colored solitons; Noise separation from a soliton; The Raman soliton self-scattering effect; Linear external potential
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We present three exactly integrable nonisospectral nonlinear evolution models with varying in time linear potentials: the forced complex modified Korteweg-de Vries (cmKdV), the forced Hirota, and the forced Sasa-Satsuma equations. In all three models we have added the time-varying linear potential to effectively simulate two effects of tremendous significance for soliton management and fiber optics communications: the sliding filter method of the noise separation from a soliton and the Raman soliton self-scattering effect. We find nonlinear gauge transformations between introduced nonisospectral models arranged in such a way that their soliton solutions, accelerating in the linear potential nonautonomous solitons, can be directly obtained without resolving the nonisospectral inverse scattering transform problem. (C) 2018 Elsevier GmbH: All rights reserved.
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