Theoretical and Mathematical Physics

, Volume 103, Issue 1, pp 482-485

First online:

On the theory of Laplace-Darboux transformations

  • A. B. ShabatAffiliated withL. D. Landau Institute of Theoretical Physics

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In the framework of the classical Laplace—Darboux theory, a formula of linear-fractional transformation of the solutions of a second-order linear equation with two independent variables is established. The one-dimensional reduction of the theory is briefly discussed.