Nonlinear Waves And Inverse Scattering Transform - Hardcover

Kuo, Spencer

 
9781800614031: Nonlinear Waves And Inverse Scattering Transform
Hardcover
ISBN 10: 1800614039 ISBN 13: 9781800614031
Verlag: WSPC (EUROPE), 2023

Inhaltsangabe

Nonlinear waves are essential phenomena in scientific and engineering disciplines. The features of nonlinear waves are usually described by solutions to nonlinear partial differential equations (NLPDEs). This book was prepared to familiarize students with nonlinear waves and methods of solving NLPDEs, which will enable them to expand their studies into related areas. The selection of topics and the focus given to each provide essential materials for a lecturer teaching a nonlinear wave course. Chapter 1 introduces "mode" types in nonlinear systems as well as Bäcklund transform, an indispensable technique to solve generic NLPDEs for stationary solutions. Chapters 2 and 3 are devoted to the derivation and solution characterization of three generic nonlinear equations: nonlinear Schrödinger equation, Korteweg–de Vries (KdV) equation, and Burgers equation. Chapter 4 is devoted to the inverse scattering transform (IST), addressing the initial value problems of a group of NLPDEs. In Chapter 5, derivations and proofs of the IST formulas are presented. Steps for applying IST to solve NLPDEs for solitary solutions are illustrated in Chapter 6.

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Verlag
WSPC (EUROPE)
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
1800614039
ISBN 13 
9781800614031
Einband
Gebundene Ausgabe
Anzahl der Seiten
198
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
preigu
mail@preigu.de

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