Laplace Transformation of Lie Class ω = 1 Overdetermined Systems
- 10.1142/S1402925111001805How to use a DOI?
- Lie's class 1; overdetermined systems of PDEs; characteristic; integral; symbols; compatibility; Spencer cohomology
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.
- © 2011 The Authors. Published by Atlantis Press and Taylor & Francis
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Cite this article
TY - JOUR AU - Boris Kruglikov PY - 2021 DA - 2021/01/07 TI - Laplace Transformation of Lie Class ω = 1 Overdetermined Systems JO - Journal of Nonlinear Mathematical Physics SP - 583 EP - 611 VL - 18 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925111001805 DO - 10.1142/S1402925111001805 ID - Kruglikov2021 ER -