Rogue waves : mathematical theory and applications in physics
Bilinear transformation method Darboux transformations Fluid dynamics Fluid mechanics Ocean engineering Ocean waves Rogue waves Wave mechanics (BISAC Subject Heading)MAT003000 (BISAC Subject Heading)MAT041000: MAT041000 MATHEMATICS / Numerical Analysis (BISAC Subject Heading)SCI032000: SCI032000 SCIENCE / Geophysics (BISAC Subject Heading)SCI040000: SCI040000 SCIENCE / Mathematical Physics (BISAC Subject Heading)SCI052000: SCI052000 SCIENCE / Earth Sciences / Oceanography (Produktform)Electronic book text (Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke (VLB-WN)9690 (Zielgruppe)Fachpublikum/ Wissenschaft Darboux transformation bilinear transformation algebro-geometric reduction nonlinear optics
Walter de Gruyter GmbH & Co., KG
2017
EISBN 9783110469691
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
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.
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.
