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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 the book a comprehensive reference for researchers in applied mathematics, optical physics, geophysics, and ocean engineering.

Author(s): Boling Guo, Lixin Tian, Zhenya Yan, Liming Ling, Yu-Feng Wang
Publisher: De Gruyter
Year: 2017

Language: English
Pages: 213
City: Berlin

Contents......Page 6
1. The Research Process for Rogue Waves......Page 10
2. Construction of Rogue Wave Solution by the Generalized Darboux Transformation......Page 39
3. Construction of Rogue Wave Solution by Hirota Bilinear Method, Algebro-geometric Approach and Inverse Scattering Method......Page 90
4. The Rogue Wave Solution and Parameters Managing in Nonautonomous Physical Model......Page 144
Bibliography......Page 202