This book is the first dedicated to optical soliton propagation in media with non-Kerr law nonlinearities. After establishing a foundation in optical communication and the nonlinear Schrdinger equation, the authors examine various properties of non-Kerr law solitons in detail. They construct soliton dynamics, evaluate the integral of motion, and develop the adiabatic dynamics of soliton parameters for the power law, dual power law, parabolic law, and saturable law nonlinearities. Later chapters discuss intra-channel collisions, optical couplers, and optical bullets. Establishing a basis in an important yet insufficiently documented subject, this book will help fuel advances in optical communication systems.

INTRODUCTION History Optical Waveguides THE NONLINEAR SCHRODINGER EQUATION Introduction Traveling Waves Integrals of Motion Parameter Evolution Quasi-Stationary Solution KERR LAW NONLINEARITY Introduction Traveling Wave Solution Inverse Scattering Transform Integrals of Motion Variational Principle Quasi-Stationary Solution Lie Transform POWER LAW NONLINEARITY Introduction Traveling Wave Solution Integrals of Motion Quasi-Stationary Solution PARABOLIC LAW NONLINEARITY Introduction Traveling Wave Solution Integrals of Motion Quasi-Stationary Solution DUAL-POWER LAW NONLINEARITY Introduction Traveling Wave Solution Integrals of Motion Quasi-Stationary Solution SATURABLE LAW NONLINEARITY Introduction The NLSE Bistable Solitons Arbitrary Pulse Propagation SOLITON-SOLITON INTERACTION Introduction Mathematical Formulation Quasi-Particle Theory STOCHASTIC PERTURBATION Introduction Kerr Law Power Law Parabolic Law Dual-Power Law OPTICAL COUPLERS Introduction Twin-Core Couplers Multiple-Core Couplers Magneto-Optic Waveguides OPTICAL BULLETS Introduction 1 + 3 Dimensions EPILOGUE HINTS AND SOLUTIONS BIBLIOGRAPHY INDEX