Characteristic Lie algebras of the sinh-Gordon and Tzitzeica equations

DOI10.1070/RM9805zbMath1397.35155OpenAlexW2791391159MaRDI QIDQ4581631

Dmitry V. Millionshchikov

Publication date: 20 August 2018

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9805

zbMATH Keywords

polynomial loop subalgebras

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Symmetries, invariants, etc. in context of PDEs (35B06) Second-order semilinear hyperbolic equations (35L71)

Related Items (4)

Narrow positively graded Lie algebras ⋮ Characteristic algebras and integrable exponential systems ⋮ Polynomial Lie algebras and growth of their finitely generated Lie subalgebras ⋮ Naturally graded Lie algebras of slow growth

Cites Work

• On the characteristic Lie algebras for equations \(u_{xy} = f(u, u_x)\)
• The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
• Unnamed Item
• Unnamed Item

This page was built for publication: Characteristic Lie algebras of the sinh-Gordon and Tzitzeica equations