Book contents
- Frontmatter
- Contents
- Foreword to the first edition
- Foreword to the second edition
- 1 Introduction
- 2 Linear waves and instabilities in infinite media
- 3 Convective and non-convective instabilities; group velocity in unstable media
- 4 A first look at surface waves and instabilities
- 5 Model equations for small amplitude waves and solitons; weakly nonlinear theory
- 6 Exact methods for fully nonlinear waves and solitons
- 7 Cartesian solitons in one and two space dimensions
- 8 Evolution and stability of initially one-dimensional waves and solitons
- 9 Cylindrical and spherical solitons in plasmas and other media
- 10 Soliton metamorphosis
- 11 Non-coherent phenomena
- Appendices
- A1 Parameter stretching as suggested by the linear dispersion relations
- A2 Relation between the trace method and the inverse scattering method
- A3 Some formulae for perturbed nonlinear ion acoustic waves and solitons
- A4 Colliding soliton theory
- A5 A model equation for spherical solitons
- A6 Stability calculation for 2D KPI soliton in 3D
- References
- Author index
- Subject index
- Plate section
A4 - Colliding soliton theory
Published online by Cambridge University Press: 05 June 2012
Book contents
- Frontmatter
- Contents
- Foreword to the first edition
- Foreword to the second edition
- 1 Introduction
- 2 Linear waves and instabilities in infinite media
- 3 Convective and non-convective instabilities; group velocity in unstable media
- 4 A first look at surface waves and instabilities
- 5 Model equations for small amplitude waves and solitons; weakly nonlinear theory
- 6 Exact methods for fully nonlinear waves and solitons
- 7 Cartesian solitons in one and two space dimensions
- 8 Evolution and stability of initially one-dimensional waves and solitons
- 9 Cylindrical and spherical solitons in plasmas and other media
- 10 Soliton metamorphosis
- 11 Non-coherent phenomena
- Appendices
- A1 Parameter stretching as suggested by the linear dispersion relations
- A2 Relation between the trace method and the inverse scattering method
- A3 Some formulae for perturbed nonlinear ion acoustic waves and solitons
- A4 Colliding soliton theory
- A5 A model equation for spherical solitons
- A6 Stability calculation for 2D KPI soliton in 3D
- References
- Author index
- Subject index
- Plate section
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- Nonlinear Waves, Solitons and Chaos , pp. 354 - 355Publisher: Cambridge University PressPrint publication year: 2000