Handbook of Exact Solutions to the Nonlinear Schrödinger Equations PDF Download

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Handbook of Exact Solutions to the Nonlinear Schrödinger Equations

Handbook of Exact Solutions to the Nonlinear Schrödinger Equations PDF Author: Usama Al Khawaja
Publisher: Institute of Physics Publishing
ISBN: 9780750324298
Category : Science
Languages : en
Pages : 396

Book 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. For the user to verify that the presented solutions do satisfy the NLSE, this monumental work is accompanied by Mathematica Notebooks containing all solutions. This work also features a large number of figures, and animations are included to help visualize solutions and their dynamics.