Superposition formulas for rectangular matrix Riccati equations
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Publication:3764464
DOI10.1063/1.527637zbMath0628.34010OpenAlexW2037190362MaRDI QIDQ3764464
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Publication date: 1987
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.527637
Nonlinear ordinary differential equations and systems (34A34) General theory for ordinary differential equations (34A99)
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Superposition formulas for pseudounitary matrix Riccati equations ⋮ A geometric approach to time evolution operators of Lie quantum systems ⋮ Discrete matrix Riccati equations with superposition formulas ⋮ Lie-theoretical generalization and discretization of the Pinney equation ⋮ Discretizing families of linearizable equations. ⋮ Nonlinear equations with superposition formulas and exceptional group G2. III. The superposition formulas ⋮ Group theoretical approach to the intertwined Hamiltonians ⋮ Superposition formulas for nonlinear superequations ⋮ Nonlinear superposition formulas based on imprimitive group action ⋮ Quasi-Lie schemes for PDEs ⋮ Invariant manifolds and projective combinations of solutions of the Riccati differential equation ⋮ Stratified Lie systems: theory and applications ⋮ A survey of nonsymmetric Riccati equations
Cites Work
- Systems of ordinary differential equations with nonlinear superposition principles
- Complex parabolic subgroups of \(G_ 2\) and nonlinear differential equations
- A nonlinear superposition principle admitted by coupled Riccati equations of the projective type
- Superposition principles for matrix Riccati equations
- Classification of systems of nonlinear ordinary differential equations with superposition principles
- Superposition laws for solutions of differential matrix Riccati equations arising in control theory
- Simple subgroups of simple Lie groups and nonlinear differential equations with superposition principles
- An algebraic model of transitive differential geometry
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