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.

Lokenath Debnath (Edited by)

9780521093040, Cambridge University Press

Paperback / softback, published 8 January 2009

372 pages
22.9 x 15.2 x 2.1 cm, 0.55 kg

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.

Subject Areas: Applied mathematics [PBW]