Nonlinear Fourier Analysis of Shallow Water Waves
TURIN UNIV (ITALY)
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The long-term goal of this research is the development of new numerical tools for obtaining the fast nonlinear Fourier transform of shallow-water ocean surface waves. These methods are based upon the inverse scattering transform IST a modern method of mathematical physics for integrating particular water wave equations. The IST allows for the description of both nonlinear unidirectional and multidirectional wave trains. The present work focuses on the development of numerical tools, on the development of data analysis procedures and on the extension of IST to higher order. Clearly the future lies in the better understanding of the nonlinear dynamics of ocean surface waves and our work addresses the practical issues of making this goal a reality.
- Physical and Dynamic Oceanography
- Numerical Mathematics