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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Bibliographic Details
Call Number:Libro Electrónico
Other Authors: Guo, Boling, Tian, Lixin, Yan, Zhenya, Li, Liming (Mathematics professor), Wang, Yu-Feng
Format: Electronic eBook
Language:Inglés
Published: Berlin ; Boston : Walter de Gruyter GmbH & Co., KG, [2017]
Subjects:
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
Online Access:Texto completo
Table of Contents:
  • 1. The Research Process for Rogue Waves; 2. Construction of Rogue Wave Solution by the Generalized Darboux Transformation; 3. Construction of Rogue Wave Solution by Hirota Bilinear Method, Algebro-geometric Approach and Inverse Scattering Method; 4. The Rogue Wave Solution and Parameters Managing in Nonautonomous Physical Model; Bibliography.

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