Bright and dark optical solitons with kerr and parabolic law nonlinearities by series solution approach

This paper applies series solution technique to retrieve bright and dark 1-soliton solution of the nonlinear Schrödinger's equation that governs the propagation of solitons through optical fibers. Kerr law nonlinearity gives bright and dark soliton, while parabolic law yields dark 1-soliton solution. The series solution technique provides an alternative, yet powerful, integration algorithm to integrate nonlinear Schrodinger's equation. The drawback that is encountered using this approach is the inability to obtain singular soliton solutions to the model.