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
A2 - Relation between the trace method and the inverse scattering method
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
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Nonlinear Waves, Solitons and Chaos , pp. 349 - 350Publisher: Cambridge University PressPrint publication year: 2000