Solitary waves in fluids / edited by R.H.J. Grimshaw.

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