1. Rogue Waves : Mathematical Theory and Applications in Physics
- Author
-
Boling Guo, Lixin Tian, Zhenya Yan, Liming Ling, Yu-Feng Wang, Boling Guo, Lixin Tian, Zhenya Yan, Liming Ling, and Yu-Feng Wang
- Subjects
- Ocean waves--Mathematical models, Fluid mechanics, Wave mechanics, Rogue waves, Fluid dynamics, Ocean engineering, Darboux transformations, Bilinear transformation method
- Abstract
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
- Published
- 2017