Riemann's method of solution of a linear second order partial differential equation of hyperbolic type was introduced in his memoir on sound waves. It has been used by Darboux in discussing the equation

where α, β, γ are functions of x and y.
(Accepted December 07 1922)
(Received June 26 1922)
Notes
* Ueber die Fortpflanzung ebener Luftwellen (Werke, p. 145).
† Theorie Génerale dea Surfaces, t. II., ch. IV.
* Cinquième congrès dts mathématiciens scandinares. Helsingfors (1922), p. 260.
† Proc. Lond. Math. Soc. Series 2. Vol. 21, p. 214. [OpenURL Query Data] [CrossRef] [Google Scholar]