Rogue waves : mathematical theory and applications in physics /

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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Guo, Boling, Tian, Lixin, Yan, Zhenya, Li, Liming (Mathematics professor), Wang, Yu-Feng
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : Walter de Gruyter GmbH & Co., KG, [2017]
Temas:
Wave mechanics.
Rogue waves.
Ocean waves > Mathematical models.
Fluid mechanics.
Fluid dynamics.
Darboux transformations.
Bilinear transformation method.
Ocean engineering.
Mécanique ondulatoire.
Vagues scélérates.
Vagues > Modèles mathématiques.
Mécanique des fluides.
Dynamique des fluides.
Transformations de Darboux.
Méthode de transformation bilinéaire.
Océanographie appliquée.
SCIENCE > Mechanics > General.
SCIENCE > Mechanics > Solids.
Bilinear transformation method
Darboux transformations
Fluid dynamics
Fluid mechanics
Ocean engineering
Ocean waves > Mathematical models
Rogue waves
Wave mechanics
(Produktform)Electronic book text
(Zielgruppe)Fachpublikum/ Wissenschaft
(BISAC Subject Heading)MAT003000
(BISAC Subject Heading)SCI040000: SCI040000 SCIENCE / Mathematical Physics
(BISAC Subject Heading)SCI052000: SCI052000 SCIENCE / Earth Sciences / Oceanography
(BISAC Subject Heading)SCI032000: SCI032000 SCIENCE / Geophysics
(BISAC Subject Heading)MAT041000: MAT041000 MATHEMATICS / Numerical Analysis
Rogue waves; Darboux transformation; bilinear transformation; algebro-geometric reduction; nonlinear optics
(VLB-WN)9690
(Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke
Acceso en línea:Texto completo
Descripción
Sumario: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. ContentsThe Research Process for Rogue WavesConstruction of Rogue Wave Solution by the Generalized Darboux TransformationConstruction of Rogue Wave Solution by Hirota Bilinear Method, Algebro-geometric Approach and Inverse Scattering MethodThe Rogue Wave Solution and Parameters Managing in Nonautonomous Physical Model.
Descripción Física:1 online resource (vii, 204 pages) : illustrations
Bibliografía:Includes bibliographical references.
ISBN:9783110469691
3110469693
9783110470574
3110470578

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