Abstract
We study stationary solutions of the nonlinear Schrodinger equation in the presence of small but non-zero third-order dispersion (TOD). Using a singular perturbation theory around the ideal soliton we calculate these solutions up to the second order in the TOD coefficient. The existence and linear stability of the stationary solutions is proved for any finite order of the perturbation theory. The results obtained by our numerical simulations of the nonlinear Schrodinger equation are in very good agreement with theory. The significance of these results for fibre optic communication systems is discussed.
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