Linear and Nonlinear WavesISBN: 978-0-471-35942-5
Paperback
660 pages
July 1999
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Introduction and General Outline.
HYPERBOLIC WAVES.
Waves and First Order Equations.
Specific Problems.
Burger's 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.
HYPERBOLIC WAVES.
Waves and First Order Equations.
Specific Problems.
Burger's 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.
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