Soliton solutions for integrable equations in nonlinear optics: Bäcklund Transformation approach

We consider integrable equations, which govern the dynamics of nonlinear wave propagation in optical fibres or two-level resonant optical media. For such integrable equations, which possess a linear eigenvalue problem with variable spectral parameter, we show that the Backlund transformation is one of the easiest methods to generate the exact one soliton solution.