The Riccati equation and Hamiltonian systems

DOI10.1063/1.525339zbMath0502.58014OpenAlexW2012694480MaRDI QIDQ3968193

F. Guil Guerrero

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525339

zbMATH Keywords

generalized Riccati equationring of differential polynomialsGel'fand-Dikii equationsnth-order scalar differential operator

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamilton's principle (70H25)

Related Items (2)

Factorization of operators and completely integrable Hamiltonian systems ⋮ Specializations of integrable systems and affine Lie algebras

Cites Work

• Algebraic aspects of nonlinear differential equations
• Hamiltonian formalism for the Novikov-Krichever equations for the commutativity of two operators
• A Lie algebra structure in a formal variational calculation
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• The calculus of jets and nonlinear Hamiltonian systems
• The resolvent and Hamiltonian systems
• Commuting flows and conservation laws for Lax equations

This page was built for publication: The Riccati equation and Hamiltonian systems