This volume contains the proceedings of the AMS Special Session on Spectral Calculus and Quasilinear Partial Differential Equations and the AMS Special Session on PDE Analysis on Fluid Flows, which were held in January 2017 in Atlanta, Georgia. These two sessions shared the underlying theme of the a
Rogue and Shock Waves in Nonlinear Dispersive Media
โ Scribed by Miguel Onorato, Stefania Resitori, Fabio Baronio (eds.)
- Publisher
- Springer International Publishing
- Year
- 2016
- Tongue
- English
- Leaves
- 376
- Series
- Lecture Notes in Physics 926
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Front Matter....Pages i-xiii
Hydrodynamic and Optical Waves: A Common Approach for Unidimensional Propagation....Pages 1-22
Integrability in Action: Solitons, Instability and Rogue Waves....Pages 23-53
Hydrodynamic Envelope Solitons and Breathers....Pages 55-87
Experiments on Breathers in Nonlinear Fibre Optics....Pages 89-115
Hamiltonian Description of Ocean Waves and Freak Waves....Pages 117-157
Modelling Transient Sea States with the Generalised Kinetic Equation....Pages 159-178
Rogue Waves in Random Sea States: An Experimental Perspective....Pages 179-203
Introduction to Wave Turbulence Formalisms for Incoherent Optical Waves....Pages 205-276
Integrable Turbulence with Nonlinear Random Optical Waves....Pages 277-307
Whitham Modulation Equations and Application to Small Dispersion Asymptotics and Long Time Asymptotics of Nonlinear Dispersive Equations....Pages 309-335
Dispersive Shock Waves: From Water Waves to Nonlinear Optics....Pages 337-367
Back Matter....Pages 369-370
โฆ Subjects
Applications of Nonlinear Dynamics and Chaos Theory;Geophysics/Geodesy;Optics, Lasers, Photonics, Optical Devices;Fluid- and Aerodynamics;Geophysics and Environmental Physics
๐ SIMILAR VOLUMES
The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg-de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a b
The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg-de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a b
The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg-de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a b