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Description
This book collects all known solutions to the nonlinear Schrödinger equation (NLSE) in one resource. In addition, the book organizes the solutions by classifying and grouping them based on aspects and symmetries they possess. Although most of the solutions presented in this book have been derived elsewhere using various methods, the authors present a systematic derivation of many solutions and even include new derivations. They have also presented symmetries and reductions that connect different solutions through transformations and enable classifying new solutions into known classes. Contents Front matter | Introduction | Fundamental Nonlinear Schrödinger Equation | Nonlinear Schrödinger Equation with Power Law and Dual Power Law Nonlinearities | Nonlinear Schrödinger Equation with Higher Order Terms | Scaling Transformations | Nonlinear Schrödinger Equation in (N + 1)-Dimensions | Coupled Nonlinear Schrödinger Equations | Discrete Nonlinear Schrödinger Equation | Nonlocal Nonlinear Schrödinger Equation | Back matter Related Topics |
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