Rogue waves : mathematical theory and applications in physics

This book gives an overview of the theoretical research on rogue waves and discusses solutions to rogue wave formation via the Darboux and bilinear transformations, algebro-geometric reduction, and inverse scattering and similarity transformations. Studies on nonlinear optics are included, making th...

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Bibliographic Details
Main Authors Guo, Boling, Tian, Lixin, Yan, Zhenya, Ling, Liming, Wang, Yu-Feng
Format eBook Book
LanguageEnglish
Published Berlin De Gruyter 2017
Walter de Gruyter GmbH
Edition1
Subjects
algebro-geometric reduction
bilinear transformation
Bilinear transformation method
Darboux transformation
Darboux transformations
Fluid dynamics
Fluid mechanics
Mathematical models
MATHEMATICS
MATHEMATICS / Applied
nonlinear optics
Ocean engineering
Ocean waves
Rogue waves
Wave mechanics
nonlinear optics
algebro-geometric reduction
Rogue waves
bilinear transformation
Darboux transformation
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Summary:This book gives an overview of the theoretical research on rogue waves and discusses solutions to rogue wave formation via the Darboux and bilinear transformations, algebro-geometric reduction, and inverse scattering and similarity transformations. Studies on nonlinear optics are included, making the book a comprehensive reference for researchers in applied mathematics, optical physics, geophysics, and ocean engineering. Contents The Research Process for Rogue Waves Construction of Rogue Wave Solution by the Generalized Darboux Transformation Construction of Rogue Wave Solution by Hirota Bilinear Method, Algebro-geometric Approach and Inverse Scattering Method The Rogue Wave Solution and Parameters Managing in Nonautonomous Physical Model
Bibliography:Includes bibliographical references (p. [193]-204)
Other authors: Lixin Tian, Zhenya Yan, Liming Ling, Yu-Feng Wang
ISBN:3110469421
9783110469424
3110469693
9783110469691
DOI:10.1515/9783110470574