Nonlinear Waves

The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.

Part I. Nonlinear Waves in Fluids: 1. Towards the Analytic Description of Overturning Waves Michael S. Longuet-Higgins; 2. The Korteweg-de Vries Equation and Related Problems in Water Wave Theory R. S. Johnson; 3. Solitary Waves in Slowly Varying Environments: Long Nonlinear Waves R. Grimshaw; 4. Nonlinear Waves in a Channel M. C. Shen; 5. Soliton Behaviour in Models of Baroclinic Instability Irene M. Moroz and John Brindley; 6. Waves and Wave Groups in Deep Water Peter J. Bryant; 7. Two- and Three-Wave Resonance Alex D. D. Craik; Part II. Nonlinear waves in Plasmas; 8. Nonlinear Electromagnetic Waves in Flowing Plasma N. E. Andreev, V. P. Silin and P. V. Silin; 9. Superluminous Waves in Plasmas P. C. Clemmow; 10. Electrostatic Ion Cyclotron Waves and Ion Heating in a Magnetic Field H. Okuda; 11. Solitons in Plasma Physics P. K. Shukla; 12. A Theory for the Propagation of Slowly Varying Nonlinear Waves in a Non-Uniform Plasma R. J. Gribben.

The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research.