Promotional Information

Nonlinear Ocean Waves and the Inverse Scattering Transform explains nonlinear Fourier analysis, a next generation tool that will allow hyperfast numerical modelling and advance understanding of oceanic surface and internal waves

Table of Contents

1. Brief History of Nonlinear Water Waves, Fourier analysis and Integrability

Part I: Theoretical and Physical Considerations

2. Theories of Water Waves

3. Introduction to Linear and Nonlinear Fourier analysis

4. The Infinite-Line Inverse Scattering Transform

5. The Periodic Inverse Scattering Transform

6. Additional Theoretical Considerations

7. Physical Perspective and Exotic Solutions

8. Extending the Inverse Scattering Transform to Higher Order

Part II: Numerical and Time Series Analysis Algorithms

9. Numerical Methods for Infinite-Line Boundary Conditions

10. Numerical Algorithms for the Analysis of Nonlinear Space and Time Series

11. Procedures for the Analysis of Nonlinear Wave Data

12. Nonlinear Power Spectral Analysis

Part III: Time Series Analysis of Experimental Data

13. Surface Waves in the Laboratory

14. Surface Waves in the Adriatic Sea

15. Surface Waves at Duck Pier

16. Surface Waves in the North Sea

17. Internal Waves in the Andaman Sea

Part IV: Future Directions

18. Engineering Applications of IST

19. Chaotic Dynamics Nonlinear Wave Equations and Water Waves

About the Author

Alfred Osborne

Reviews

"The book is an encyclopaedia of mathematical models of nonlinear ocean waves and methods of their investigation."--Zentralblatt MATH 1250 "The book should be of great interest not only to oceanographers, but to others interested in the intriguing physics of nonlinear waves. Much of the theory developed in the book applies to other branches of physics, such as plasma physics and nonlinear optics. Because of the high quality of writing, this book may make an ideal focus for graduate-level seminars as well as being a comprehensive reference text on nonlinear water waves."--Pure and Applied Geophysics