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

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.

Key Features:

• Comprehensive and fully up to date, with detailed consideration of the main NLSE models.


• Includes animated figures to help visualize solutions and their dynamics.


• Accompanied by Mathematica codes, including dynamics of solutions.


• New chapter on the Fractional Nonlinear Schrödinger Equation.