Automatic determination of optimal systems of Lie subalgebras: The package SymboLie

DOI10.1090/conm/789/15837MaRDI QIDQ6049762

Luca Amata, Francesco Olivieri

Publication date: 15 September 2023

Published in: The Diverse World of PDEs (Search for Journal in Brave)

zbMATH Keywords

inner automorphismssymbolic computationLie algebrasgroup-invariant solutionsoptimal systems

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

Ideals and conjugacy classes in solvable Lie algebras

Cites Work

• Group classification of two-dimensional stable viscous gas equations
• The ``PODMODELI program. Gas dynamics
• Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering
• Lie symmetries of differential equations: classical results and recent contributions
• Particle-like structure of coaxial Lie algebras
• Subalgebras of real three- and four-dimensional Lie algebras
• A Direct Algorithm Maple Package of One-Dimensional Optimal System for Group Invariant Solutions
• A direct algorithm of one-dimensional optimal system for the group invariant solutions
• Particle-like structure of Lie algebras
• Introduction to Lie Algebras and Representation Theory
• A note on optimal systems for the heat equation
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