Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- PART I FUNDAMENTALS AND BASIC APPLICATIONS
- 1 Introduction
- 2 Linear and nonlinear wave equations
- 3 Asymptotic analysis of wave equations: Properties and analysis of Fourier-type integrals
- 4 Perturbation analysis
- 5 Water waves and KdV-type equations
- 6 Nonlinear Schrödinger models and water waves
- 7 Nonlinear Schrödinger models in nonlinear optics
- PART II INTEGRABILITY AND SOLITONS
- PART III APPLICATIONS OF NONLINEAR WAVES IN OPTICS
- References
- Index
5 - Water waves and KdV-type equations
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- Acknowledgements
- PART I FUNDAMENTALS AND BASIC APPLICATIONS
- 1 Introduction
- 2 Linear and nonlinear wave equations
- 3 Asymptotic analysis of wave equations: Properties and analysis of Fourier-type integrals
- 4 Perturbation analysis
- 5 Water waves and KdV-type equations
- 6 Nonlinear Schrödinger models and water waves
- 7 Nonlinear Schrödinger models in nonlinear optics
- PART II INTEGRABILITY AND SOLITONS
- PART III APPLICATIONS OF NONLINEAR WAVES IN OPTICS
- References
- Index
Summary

- Type
- Chapter
- Information
- Nonlinear Dispersive WavesAsymptotic Analysis and Solitons, pp. 98 - 129Publisher: Cambridge University PressPrint publication year: 2011