Invariants of hyperbolic Partial Differential Operators
Chris Athorne, Halis Yilmaz
TL;DR
This paper introduces a broad class of Laplace invariants for linear hyperbolic PDEs of various orders, enhancing the understanding of their structural properties.
Contribution
It constructs a large class of invariants for general linear hyperbolic PDEs, extending previous results to more complex operators.
Findings
Constructed a comprehensive set of Laplace invariants.
Applicable to hyperbolic PDEs of arbitrary order.
Provides tools for analyzing PDE invariants.
Abstract
We present a construction of a large class of Laplace invariants for linear hyperbolic partial differential operators of fairly general form and arbitrary order.
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