Laplace Invariants for General Hyperbolic Systems
Chris Athorne, Halis Yilmaz
TL;DR
This paper extends the concept of Laplace invariants to general hyperbolic systems of linear differential equations, exploring their properties and the completeness of certain invariant subsets.
Contribution
It introduces a generalized framework for Laplace invariants applicable to arbitrary rank and dimension systems, advancing the theoretical understanding of these invariants.
Findings
Generalization of Laplace invariants to higher-rank systems
Discussion on the completeness of invariant subsets
Theoretical insights into hyperbolic differential systems
Abstract
We consider the generalization of Laplace invariants to linear differential systems of arbitrary rank and dimension. We discuss completeness of certain subsets of invariants.
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