Differential Invariants of Infinite-Dimensional Algebras That Are Equivalence Algebras of Classes of PDE
Irina Yehorchenko
TL;DR
This paper investigates the differential invariants of infinite-dimensional algebras that serve as equivalence algebras for classes of partial differential equations, analyzing their structure and properties.
Contribution
It introduces a detailed description of differential invariants for these algebras and explores their algebraic structure, advancing the understanding of symmetry methods in PDEs.
Findings
Characterization of differential invariants for infinite-dimensional equivalence algebras
Structural analysis of these algebras
Insights into symmetry classification of PDEs
Abstract
We describe differential invariants of infinite-dimensional algebras being equivalence algebras of some classes of PDE and study structure of these algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons