Nonlinear Ocean Waves and the Inverse Scattering Transform

Contents

Preface

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

Part I: Theoreti cal and Physical Considerations

1. Theories of Water Waves

2. Introduction to Linear and Nonlinear Fourier analysis

< P>4. The Infinite-Line Inverse Scattering Transform

1. The Per iodic Inverse Scattering Transform

2. Additional Theoretical C onsiderations

3. Physical Perspective and Exotic Solutions

4. Extending the Inverse Scattering Transform to Higher Order

Part II: Numerical and Time Series Analysis Algorithms

1. Numerical Methods for Infinite-Line Boundary Conditions

2. Numerical Algorithms for the Analysis of Nonlinear Space and Time Serie s

3. Procedures for the Analysis of Nonlinear Wave Data

4. Nonlinear Power Spectral Analysis

Part II: Time Serie s Analysis of Experimental Data

1. Surface Waves in the Labor atory

2. Surface Waves in the Adriatic Sea

3. Surf ace Waves at Duck Pier

4. Surface Waves in the North Sea

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