Nonlinear Waves And Inverse Scattering Transform

Spencer P Kuo (Autor)

Buch | Hardcover

200 Seiten

2023
World Scientific Europe Ltd (Verlag)
978-1-80061-403-1 (ISBN)

Artikel merken

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.

Erscheinungsdatum	29.07.2023
Verlagsort	London
Sprache	englisch
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik
ISBN-10	1-80061-403-9 / 1800614039
ISBN-13	978-1-80061-403-1 / 9781800614031
Zustand	Neuware