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 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

• Summarizes mathematical explanations of rogue waves.


• Explores the mechanism and solutions to rogue wave formation.


• Extends discussion to nonlinear physics.