Nonlinear Waves and Weak Turbulence: with Applications in Oceanography and Condensed Matter Physics / Edition 1

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Table of Contents

1 Turbulence in Hamiltonian Systems 3
2 Revised Universality Concept in the Turbulence Theory 19
3 Wave Spectra of Developed Seas 45
4 Gravity Waves in the Large Scales of the Atmosphere 69
5 Physical Applications of Wave Turbulence: Wind Waves and Classical Collective Modes 83
6 Strong and Weak Turbulence for Gravity Waves and the Cubic Schrodinger Equation 97
7 Hidden Symmetries of Hamiltonian Systems over Holomorphic Curves 121
8 Chaotic Motion in Unsteady Vortical Flows 147
9 Oblique Instability Waves in Nearly Parallel Shear Flows 159
10 Modeling Turbulence by Systems of Coupled Gyrostats 179
11 Soliton Turbulence in Nonlinear Optical Phenomena 199
12 Solitons Propagation in Optical Fibers with Random Parameters 211
13 Collision Dynamics of Solitary Waves in Nematic Liquid Crystals 227
14 Statistical Mechanics, Euler's Equation, and Jupiter's Red Spot 239
15 Stochastic Burgers' Flows 279
16 Long Range Prediction and Scaling Limit for Statistical Solutions of the Burgers' Equation 313
17 A Remark on Shocks in Inviscid Burgers' Turbulence 339
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