Asymptotic Wave Functions and Energy Distributions for the d'Alembert Wave Equation.
Abstract
The classical wave equation of d'Alembert has the form D(sub 0, sup 2)u - (D(sub 1, sup 2)u + D(sub 2, sup 2)u + ... + D(sub n, sup 2)u) = 0, where u = u(t,x) belongs to R, t belongs to R, x = (x sub 1, x sub 2,....,x sub n) belongs to (R sup n), (D sub 0) = partial d/dt and (D sub k) = partial d/d(x sub k) for k = 1,2,...,n. The equation provides the oldest and simplest model for acoustic wave propagation in a homogeneous isotropic fluid. The paper deals with solutions of the equation for which the energy integral is finite. (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1974
- Accession Number
- AD0780269
Entities
People
- Calvin H. Wilcox
Organizations
- University of Utah