On the theory of Laplace-Darboux transformations
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- Shabat, A.B. Theor Math Phys (1995) 103: 482. doi:10.1007/BF02069791
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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.