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Nonlinear Waves and Inverse Scattering Transform by Spencer P. Kuo

Nonlinear Waves and Inverse Scattering Transform

by Spencer P. Kuo
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Book cover type: Hardcover
  • ISBN13: 9781800614031
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: World Scientific Publishing Europe Ltd
  • Publisher Imprint: World Scientific Publishing Europe Ltd
  • Publication Date:
  • Pages: 200
  • Original Price: USD 78.0
  • Language: English
  • Edition: N/A
  • Item Weight: 436 grams
  • BISAC Subject(s): Physics / Electromagnetism

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 B�cklund 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 Schr�dinger 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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