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<i>Linear and Nonlinear Waves</i>

Physics Today · 1975 · Vol. 28(6) · pp. 55–56

G. B. Whitham✉Richard Fowler(University of Oklahoma)

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.

Experimental and Theoretical Physics Studies Material Science and Thermodynamics Fluid Dynamics Simulations and InteractionsNonlinear systemPhysicsMechanicsQuantum mechanics

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