K PORSEZIAN

Department of Physics, Anna University, Chennai 600 025, India

Abstract.

In this review, considering the important linear and nonlinear optical effects like group velocity dispersion, higher order dispersion, Kerr nonlinearity, self-steepening, stimulated Raman scattering, birefringence, self-induced transparency and various inhomogeneous effects in fibers, the completely integrable concept and bright, dark and self-induced transparency soliton models in nonlinear fiber optics are discussed. Considering the above important optical effects, the different completely integrable soliton models in the form of nonlinear Schrödinger (NLS), NLS-Maxwell-Bloch (MB) type equations reported in the literature are discussed.  Finally, solitons in stimulated Raman scattering (SRS) system is briefly discussed.

Keywords:  Group velocity dispersion; Kerr nonlinearity; optical solitons; self-induced transparency; complete integrability; Lax pair; Bäcklund transformation.

Pacs Nos.  42.65Tg; 47.81Dp; 42.79Sz; 05.45 Yv.