Journal of Optics

Exact quasi-soliton solutions and soliton interaction for the inhomogeneous coupled Hirota–Maxwell–Bloch equations

C. G. L. Tiofack, Alidou Mohamadou, Timoléon Crépin Kofané, Kuppuswamy Porsezian

Published Jul 22, 2010• 5 citations

Abstract

We propose the system of generalized inhomogeneous coupled Hirota–Maxwell–Bloch equations which describes propagation of an optical soliton in an inhomogeneous erbium-doped fiber with two-level resonant atoms. For this system, higher-order dispersion, self-steepening and self-Raman scattering are assumed to be inhomogeneous, like the group velocity dispersion. The exact analytical multisoliton solutions are obtained by employing the simple, straightforward Darboux transformation based on the obtained 3 × 3 Lax pair. As an example, the one- and two-soliton solutions in explicit forms are generated. Then, we give the relative numerical evolution and discuss the propagation characteristics of the pulse.

DOI: 10.1088/2040-8978/12/8/085202

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