امواج غیرخطی اقیانوسی و تبدیل پراکندگی معکوس ۲۰۱۰
Nonlinear Ocean Waves and the Inverse Scattering Transform 2010

1. Cover image

2. Title page

3. Table of Contents

4. Series Page

5. Copyright Page

6. Title Page II

7. Preface

8. Part 1 Introduction

1 Brief History and Overview of Nonlinear Water Waves

10. Chapter 2 Nonlinear Water Wave Equations

11. Chapter 3 The Infinite-Line Inverse Scattering Transform

12. Chapter 4 The Infinite-Line Hirota Method

13. Part 2 Periodic Boundary Conditions

14. Chapter 5 Periodic Boundary Conditions

6 The Periodic Hirota Method

16. Part 3 Multidimensional Fourier Analysis

7 Multidimensional Fourier Series

8 Riemann Theta Functions

19. Chapter 9 Riemann Theta Functions as Ordinary Fourier Series

20. Part 4 Nonlinear Shallow-Water Spectral Theory

21. Chapter 10 The Periodic Korteweg-DeVries Equation

22. Chapter 11 The Periodic Kadomtsev-Petviashvili Equation

23. Part 5 Nonlinear Deep-Water Spectral Theory

24. Chapter 12 The Periodic Nonlinear Schrödinger Equation

13 The Hilbert Transform

26. Part 6 Theoretical Computation of the Riemann Spectrum

27. Chapter 14 Algebraic-Geometric Loop Integrals

28. Chapter 15 Schottky Uniformization

29. Chapter 16 Nakamura-Boyd Approach

30. Part 7 Nonlinear Numerical and Time Series Analysis Algorithms

17 Automatic Algorithm for the Spectral Eigenvalue Problem for the KdV Equation

32. Chapter 18 The Spectral Eigenvalue Problem for the NLS Equation

33. Chapter 19 Computation of Algebraic-Geometric Loop Integrals for the KdV Equation

34. Chapter 20 Simple, Brute-Force Computation of Theta Functions and Beyond

21 The Discrete Riemann Theta Function

36. Chapter 22 Summing Riemann Theta Functions over the N-Ellipsoid

37. Chapter 23 Determining the Riemann Spectrum from Data and Simulations

38. Part 8 Theoretical and Experimental Problems in Nonlinear Wave Physics

24 Nonlinear Instability Analysis of Deep-Water Wave Trains

40. Chapter 25 Internal Waves and Solitons

26 Underwater Acoustic Wave Propagation

27 Planar Vortex Dynamics

28 Nonlinear Fourier Analysis and Filtering of Ocean Waves

29 Laboratory Experiments of Rogue Waves

30 Nonlinearity in Duck Pier Data

31 Harmonic Generation in Shallow-Water Waves

47. Part 9 Nonlinear Hyperfast Numerical Modeling

32 Hyperfast Modeling of Shallow-Water Waves: The KdV and KP Equations

33 Modeling the 2 + 1 Gardner Equation

34 Modeling the Davey-Stewartson (DS) Equations

51. References

52. International Geophysics Series

53. Index