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portada Nonlinear Waves and Inverse Scattering Transform
Type
Physical Book
Author
Publisher
Language
English
Pages
200
Format
Hardcover
Dimensions
22.9 x 15.2 x 1.3 cm
Weight
0.44 kg.
ISBN13
9781800614031
Categories

Nonlinear Waves and Inverse Scattering Transform

Spencer P. Kuo (Author) · World Scientific Publishing Europe Ltd · Hardcover

Nonlinear Waves and Inverse Scattering Transform - Kuo, Spencer P.

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Synopsis "Nonlinear Waves and Inverse Scattering Transform"

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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