On differential equations invariant under two-variable M\"obius transformations
M. Euler, N. Euler, MC Nucci
TL;DR
This paper investigates invariants of two-variable M"obius transformations and identifies specific partial differential equations that remain unchanged under these transformations.
Contribution
It computes invariants for two-variable M"obius transformations and characterizes PDEs invariant under these transformations.
Findings
Computed invariants for two-variable M"obius transformations
Identified PDEs invariant under these transformations
Provided a framework for analyzing symmetry in PDEs
Abstract
We compute invariants for the two-variable M\"obius transformation. In particular we are interested in partial differential equations in two dependent and two independent variables that are kept invariant under this transformation.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Elasticity and Wave Propagation · Advanced Theoretical and Applied Studies in Material Sciences and Geometry