Soliton pulse compression in nonuniform birefringent fibres

In this paper we consider the pulse propagation in a nonuniform birefringent fibre where the pulse dynamics is governed by the coupled inhomogeneous nonlinear Schrodinger (CINLS) equations. We construct the explicit Lax pair with nonisospectral eigenvalue parameter and the explicit one-soliton solution is obtained using the Darboux-Backlund transformation. Constructing the two-soliton solutions of the CINLS equations through suitable mapping, we analyse the pulse compression due to nortuniformities in fibres.