Solitary waves in fluids /
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
References : p.176-179 . _ Index : p.181-183
9781845641573 1845641574
1353808X
2006938301
Solitons.
Korteweg-de Vries equation.
Fluid dynamics.
620.106 / SOL
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
References : p.176-179 . _ Index : p.181-183
9781845641573 1845641574
1353808X
2006938301
Solitons.
Korteweg-de Vries equation.
Fluid dynamics.
620.106 / SOL