{"product_id":"nonlinear-ocean-waves-and-the-inverse-scattering-transform-hardback-9780125286299","title":"Nonlinear Ocean Waves and the Inverse Scattering Transform (Hardback) 9780125286299","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eNonlinear Ocean Waves and the Inverse Scattering Transform\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003e\u003cp\u003e\u003ci\u003eNonlinear Ocean Waves and the Inverse Scattering Transform\u003c\/i\u003e explains nonlinear Fourier analysis, a next generation tool that will allow hyperfast numerical modelling and advance understanding of oceanic surface and internal waves\u003c\/p\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAlfred Osborne (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780125286299\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 7 April 2010\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e944 pages\u003cbr\u003e22.9 x 15.1 x 4.5 cm, 1.44 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\"The book is an encyclopaedia of mathematical models of nonlinear ocean waves and methods of their investigation.\" \u003cb\u003e--Zentralblatt MATH 1250\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\"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.\" \u003cb\u003e--Pure and Applied Geophysics\u003c\/b\u003e\u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eFor more than 200 years, the Fourier Transform has been one of the most important mathematical tools for understanding the dynamics of linear wave trains. \u003ci\u003eNonlinear Ocean Waves and the Inverse Scattering Transform\u003c\/i\u003e presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves. This revolutionary development will allow hyperfast numerical modelling of nonlinear waves, greatly advancing our understanding of oceanic surface and internal waves. Nonlinear Fourier analysis is based upon a generalization of linear Fourier analysis referred to as the \u003ci\u003einverse scattering transform\u003c\/i\u003e, the fundamental building block of which is a generalized Fourier series called the Riemann theta function. Elucidating the art and science of implementing these functions in the context of physical and time series analysis is the goal of this book.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e1. Brief History of Nonlinear Water Waves, Fourier analysis and Integrability\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart I: Theoretical and Physical Considerations\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2. Theories of Water Waves\u003c\/p\u003e \u003cp\u003e3. Introduction to Linear and Nonlinear Fourier analysis\u003c\/p\u003e \u003cp\u003e4. The Infinite-Line Inverse Scattering Transform\u003c\/p\u003e \u003cp\u003e5. The Periodic Inverse Scattering Transform\u003c\/p\u003e \u003cp\u003e6. Additional Theoretical Considerations\u003c\/p\u003e \u003cp\u003e7. Physical Perspective and Exotic Solutions\u003c\/p\u003e \u003cp\u003e8. Extending the Inverse Scattering Transform to Higher Order\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II: Numerical and Time Series Analysis Algorithms\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9. Numerical Methods for Infinite-Line Boundary Conditions\u003c\/p\u003e \u003cp\u003e10. Numerical Algorithms for the Analysis of Nonlinear Space and Time Series\u003c\/p\u003e \u003cp\u003e11. Procedures for the Analysis of Nonlinear Wave Data\u003c\/p\u003e \u003cp\u003e12. Nonlinear Power Spectral Analysis\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart III: Time Series Analysis of Experimental Data\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13. Surface Waves in the Laboratory\u003c\/p\u003e \u003cp\u003e14. Surface Waves in the Adriatic Sea\u003c\/p\u003e \u003cp\u003e15. Surface Waves at Duck Pier\u003c\/p\u003e \u003cp\u003e16. Surface Waves in the North Sea\u003c\/p\u003e \u003cp\u003e17. Internal Waves in the Andaman Sea\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart IV: Future Directions\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18. Engineering Applications of IST\u003c\/p\u003e \u003cp\u003e19. Chaotic Dynamics Nonlinear Wave Equations and Water Waves\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Oceanography [\u003ca title=\"See our other books on Oceanography\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Oceanography%20%5Bseas%5D%20%5BRBKC%5D%22\"\u003eseas RBKC\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Freshly Printed Books","offers":[{"title":"Default Title","offer_id":46648543346968,"sku":"9780125286299","price":69.87,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780125286299_a9c12e8e-b116-4edd-847a-3a62abdf186c.jpg?v=1694353021","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/nonlinear-ocean-waves-and-the-inverse-scattering-transform-hardback-9780125286299","provider":"Freshly Printed Books","version":"1.0","type":"link"}