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The compound Korteweg de-Vries (cKdV) equation that is going to be studied in this paper arises is in the study of nonlinear waves in fluids. In particular, it shows up in the context of internal gravity waves in a density-stratified ocean. A very common tool for describing these processes is the Korteweg-de Vries (KdV) equation and its modifications that… (More)
The statistical dynamics of optical solitons, in a non-Kerr law media, is studied in this paper. The Langevin equations are derived and it is proved that the solitons travel through a fiber with a fixed mean velocity. The non-linearities that are considered here are the power law, parabolic law and the dual-power law types.
The adiabatic parameter dynamics of solitons, due to fifth order KdV-type equations with power law nonlinearity, is obtained with the aid of soliton perturbation theory. In addition, the small change in the velocity of the soliton, in the presence of perturbation terms, is also determined in this work. c © 2007 Elsevier Ltd. All rights reserved.
In this paper we present the soliton dynamics in a two port fiber nonlinear directional coupler with periodically modulated dispersion and coupling constant dispersion that arose due to the intermodal dispersion between symmetric and antisymmetric modes of the coupler. The fiber material possessed cubic quintic nonlinearity. The influences of the coupling… (More)
The intra-channel collision of optical solitons, with non-Kerr law nonlinearities, is studied in this paper by the aid of quasi-particle theory. The perturbations terms that are considered in this paper are both of Hamiltonian as well as nonHamiltonian type. The suppression of soliton–soliton interaction, in presence of these perturbation terms, is… (More)
The intra-channel collision of optical solitons, with dual-power law nonlinearity, is studied in this paper by the aid of quasi-particle theory. The perturbation terms that are considered in this paper are of Hamil-tonian type. The suppression of soliton-soliton interaction, in presence of these perturbation terms, is acheived. The numerical simulations… (More)