Handbook of Exact Solutions to the Nonlinear Schrödinger Equations (Second Edition)

Abstract

Throughout the long history of the nonlinear Schrödinger equation (NLSE), many exact analytical solutions have been found and they continue to grow as new solutions are being sought and discovered. This book aims to organize the solutions by classifying and grouping them based on aspects and symmetries they possess. The authors present a systematic derivation of many solutions and even include new derivations. This expanded second edition contains new solutions published or derived since the first edition. Noting the increasing interest in and applications of the fractional nonlinear Schrödinger equation, a new chapter devoted to this topic has been added. Each chapter now also features an introductory section documenting the history, background, and physical systems described by the equations at hand.

Keywords Nonlinear Schrödinger equation , Exact analytical solutions , Symmetries and classifications , Solution derivations