Simple subgroups of simple Lie groups and nonlinear differential equations with superposition principles

DOI10.1063/1.527381zbMath0606.22016OpenAlexW2002496249WikidataQ115332125 ScholiaQ115332125MaRDI QIDQ3744402

No author found.

Publication date: 1986

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527381

zbMATH Keywords

homogeneous spacessuperposition principlesuperposition formulasNonlinear ordinary differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Harmonic analysis on homogeneous spaces (43A85) Applications of Lie groups to the sciences; explicit representations (22E70)

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Cites Work

• The soliton correlation matrix and the reduction problem for integrable systems
• Systems of ordinary differential equations with nonlinear superposition principles
• Nonlinear action of Lie groups and superposition principles for nonlinear differential equations
• A nonlinear superposition principle admitted by coupled Riccati equations of the projective type
• Superposition principles for matrix Riccati equations
• Normal forms of elements of classical real and complex Lie and Jordan algebras
• Classification of systems of nonlinear ordinary differential equations with superposition principles
• Superposition laws for solutions of differential matrix Riccati equations arising in control theory
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• An algebraic model of transitive differential geometry