Geodesic
On the Laplace--Darboux theory of transformations
Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 1, pp. 170-175

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In the framework of the classical Laplace–Darboux theory the formula of the fractional-rational transformations of the solutions of the linear second order partial differential equation with the two independent variables is established. The one-dimensional reduction discussed briefly. 
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     author = {A. B. Shabat},
     title = {On the {Laplace--Darboux} theory of transformations},
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     number = {1},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1995_103_1_a12/}
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A. B. Shabat. On the Laplace--Darboux theory of transformations. Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 1, pp. 170-175. http://geodesic.mathdoc.fr/item/TMF_1995_103_1_a12/