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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 97, Number 3, Pages 386–395
(Mi tmf1747)
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This article is cited in 7 scientific papers (total in 7 papers)
Dynamical systems that admit normal displacement
A. Yu. Boldin, R. A. Sharipov Bashkir State University
Abstract:
The classical geometrical construction of Bianchi–Lie, Bäcklund, and Darboux transformations is considered and generalized for dynamical systems. For a transformation that generalizes normal displacement, a class of dynamical systems that admit this transformation is found. A differential equation that distinguishes dynamical systems in $\mathbb R^2$ that belong to this class is derived, and some solutions of it are considered.
Received: 26.03.1993
Citation:
A. Yu. Boldin, R. A. Sharipov, “Dynamical systems that admit normal displacement”, TMF, 97:3 (1993), 386–395; Theoret. and Math. Phys., 97:3 (1993), 1364–1369
Linking options:
https://www.mathnet.ru/eng/tmf1747 https://www.mathnet.ru/eng/tmf/v97/i3/p386
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