Abstract

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.

Keywords

Nonlinear systemPhysicsMechanicsQuantum mechanics

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Year
1975
Type
article
Volume
28
Issue
6
Pages
55-56
Citations
8243
Access
Closed

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G. B. Whitham, Richard Fowler (1975). <i>Linear and Nonlinear Waves</i>. Physics Today , 28 (6) , 55-56. https://doi.org/10.1063/1.3069011

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DOI
10.1063/1.3069011