A NOTE CONCERNING HYPERBOLIC EQUATIONS WITH CONSTANT COEFFICIENTS
Journal Article
·
· Quart. Appl. Math.
OSTI ID:4828543
The canonical form of the linear, homogeneous hyperbolic partial differential equation in two independent variables is U/sub xy/ + A/sub ux/ + bU/ sub y/ + CU = 0. The constant coefficients case can be reduced to the simpler form: V/sub xy/-- lambda V = 0, lambda = Ab -- c. The solution by Copson to an equivalent form of this equation was the same as that obtained by Riemann's method. The Bessel function I/sub o/(2STA lambda (x -- alpha )(Y -- BETA )!/sup 1/2) was identified as the Riemann characteristic function for the equation. This enabled a direct solution for the equation to be obtained for prescribed values of V(x, y). (M.C.G.)
- Research Organization:
- General Electric Co., Cincinnati
- NSA Number:
- NSA-16-020943
- OSTI ID:
- 4828543
- Journal Information:
- Quart. Appl. Math., Journal Name: Quart. Appl. Math. Vol. Vol: 18
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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