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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1995 Volume 103, Number 1, Pages 170–175 (Mi tmf1294)

This article is cited in 16 papers

On the Laplace–Darboux theory of transformations

A. B. Shabat

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Abstract: 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.

Received: 28.02.1995


 English version:
Theoretical and Mathematical Physics, 1995, 103:1, 482–485

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