ABSTRACT
This conclusion presents some closing thoughts on the concepts covered in the preceding chapters of this book. The book introduces a brief history of optical solitons. It addresses the dynamics of soliton propagation in power law, parabolic law, and dual-power law. The concept of optical solitons is based on the integrability of the nonlinear Schrodinger’s equation (NLSE). The perturbed NLSE was studied using soliton perturbation theory to derive the corresponding Langevin equations for four types of nonlinearity: Kerr, power, parabolic- and dual-power law. An important property of the NLSE with Kerr law nonlinearity is that it has an infinite number of degrees of freedom and, consequently, an infinite number of conserved quantities. A model with saturation terms included in the NLSE is more satisfactory from a physical point of view, since stable soliton propagation is ensured in principle over an infinite propagation distance, including transoceanic distances.
