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Nonlinear Waves and Inverse Scattering Transform
Buch von Spencer Kuo
Sprache: Englisch

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Beschreibung
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.
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.
Details
Erscheinungsjahr: 2023
Fachbereich: Elektrizität/Magnetismus/Optik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 198
ISBN-13: 9781800614031
ISBN-10: 1800614039
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Spencer Kuo
Hersteller: WSPC (Europe)
Maße: 235 x 157 x 15 mm
Von/Mit: Spencer Kuo
Erscheinungsdatum: 26.06.2023
Gewicht: 0,447 kg
preigu-id: 126146996
Details
Erscheinungsjahr: 2023
Fachbereich: Elektrizität/Magnetismus/Optik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 198
ISBN-13: 9781800614031
ISBN-10: 1800614039
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Spencer Kuo
Hersteller: WSPC (Europe)
Maße: 235 x 157 x 15 mm
Von/Mit: Spencer Kuo
Erscheinungsdatum: 26.06.2023
Gewicht: 0,447 kg
preigu-id: 126146996
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