Laplace transformation of Lie class ω = 1 overdetermined systems

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https://hdl.handle.net/10037/30996
DOI
https://doi.org/10.1142/S1402925111001805
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Date
2021-01-20
Type
Journal article
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Peer reviewed

Author
Kruglikov, Boris
Abstract
In this paper, we investigate overdetermined systems of scalar PDEs on the plane with one common characteristic, whose general solution depends on one function of one variable. We describe linearization of such systems and their integration via Laplace transformation, relating this to Lie's integration theorem and formal theory of PDEs.
Publisher
Atlantis Press and Taylor & Francis
Citation
Kruglikov BS. Laplace transformation of Lie class ω = 1 overdetermined systems. Journal of Nonlinear Mathematical Physics. 2011;18(4):583-611
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Copyright 2011 The Author(s)
Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
Except where otherwise noted, this item's license is described as Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)