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June 1, 1975Physics Today8,310 citations

Linear and Nonlinear Waves

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GWG. B. WhithamRFRichard Fowler

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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.

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Whitham et al. (1975) studied this question.

synapsesocial.com/papers/6a0cfff5d24d91c50ccc91bfhttps://doi.org/10.1063/1.3069011
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