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Handbook of Exact Solutions to the Nonlinear Schrödinger Equations

Parameter

  • 396 Seiten
  • 14 Lesestunden

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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.

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Handbook of Exact Solutions to the Nonlinear Schrödinger Equations, Usama Al Khawaja, Laila Al Sakkaf

Sprache
Erscheinungsdatum
2019
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Titel
Handbook of Exact Solutions to the Nonlinear Schrödinger Equations
Sprache
Englisch
Erscheinungsdatum
2019
Einband
Paperback
Seitenzahl
396
ISBN10
0750324295
ISBN13
9780750324298
Reihe
Schlagwörter
Beschreibung
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.