"Version: 20191101"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Fundamental nonlinear Schr?odinger equation -- 2.1. NLSE with cubic nonlinearity -- 2.2. Summary of subsection 2.1.1 -- 2.3. Summary of subsection 2.2.13. Nonlinear Schr?odinger equation with power law and dual power law nonlinearities -- 3.1. NLSE with power law nonlinearity -- 3.2. Summary of secti…