Solitary waves in fluids /
edited by R.H.J. Grimshaw.
- Southampton, Boston : WIT Press, c2007.
- xi, 183 p. : ill. ; 25 cm.
- Advances in fluid mechanics ; v.47 .
CONTENTS:
CHAPTER 1: Introduction 1 Historical introduction 2 Korteweg-de Vries equation 3 Solitary waves: bifurcation from the linear spectrum
CHAPTER 2: Korteweg-de Vries equation: solutions and undular bores 1 Introduction 2 Periodic travelling wave solutions and solitary waves 3 Inverse scattering transform methods solitons Etc.
CHAPTER 3:Solitary waves in water:numerical methods and results 1 Introduction 2 Formulation 3 Approximate evolution equations 4 Evolution of initial disturbances Etc.
CHAPTER 4: Internal Solitary Waves 1 Introduction 2 Approximate evolution equations 3 Solitons and their properties 4 Evolution of initial disturbances Etc.
CHAPTER 5: Solitary waves in rotating fluids 1 Introduction 2 Axisymmetric inertial solitary waves 3 Internal gravity waves in a rotating channel
CHAPTER 6: Planetary solitary waves 1 Coherent structures and solitons 2 Weakly non local solitary waves: slow death by radiation 3 The dynamical isolation of the crests of cnoidal waves: Gauss' cosine-lemniscate function, imbricate and all that Etc.
CHAPTER 7: Envelope solitary waves 1 Linear waves and group velocity 2 Weakly nonlinear waves 3 Envelope solutions Etc.
Solitary waves in water:numerical methods and results