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Linear and nonlinear waves /

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Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared in 1974, due to the increased use of nonlinear waves. It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. The...

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Bibliographic Details
Main Author: Whitham, G. B. (Gerald Beresford), 1927- (Author)
Format: eBook
Language:English
Published: New York : Wiley, ©1999.
Series:Pure and applied mathematics (Interscience Publishers) ; 1237.
Subjects:
Wave-motion, Theory of.
Waves.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Front Matter
  • Introduction and General Outline
  • Hyperbolic Waves. Waves and First Order Equations
  • Specific Problems
  • Burgers' Equation
  • Hyperbolic Systems
  • Gas Dynamics
  • The Wave Equation
  • Shock Dynamics
  • The Propagation of Weak Shocks
  • Wave Hierarchies
  • Dispersive Waves. Linear Dispersive Waves
  • Wave Patterns
  • Water Waves
  • Nonlinear Dispersion and the Variational Method
  • Group Velocities, Instability, and Higher Order Dispersion
  • Applications of the Nonlinear Theory
  • Exact Solutions; Interacting Solitary Waves
  • References
  • Index
  • Pure and Applied Mathematics.
  • 1. Introduction and General Outline
  • 2. Waves and First Order Equations
  • 3. Specific Problems
  • 4. Burgers' Equation
  • 5. Hyperbolic Systems
  • 6. Gas Dynamics
  • 7. The Wave Equation
  • 8. Shock Dynamics
  • 9. The Propagation of Weak Shocks
  • 10. Wave Hierarchies
  • 11. Linear Dispersive Waves
  • 12. Wave Patterns
  • 13. Water Waves
  • 14. Nonlinear Dispersion and the Variational Method
  • 15. Group Velocities, Instability, and Higher Order Dispersion
  • 16. Applications of the Nonlinear Theory
  • 17. Exact Solutions; Interacting Solitary Waves.