A NOTE CONCERNING HYPERBOLIC EQUATIONS WITH CONSTANT COEFFICIENTS

Journal Article · Sat Oct 01 00:00:00 EDT 1960 · Quart. Appl. Math.

OSTI ID:4828543

Heyda, J F

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., Vol. Vol: 18; Other Information: Orig. Receipt Date: 31-DEC-62
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

MATHEMATICS AND COMPUTERS
BESSEL FUNCTIONS
MATHEMATICS
RIEMANN FUNCTION