Equivalence problem and integrability of the Riccati equations

DOI10.1007/S00030-009-0049-2zbMath1205.34046OpenAlexW2137227163MaRDI QIDQ976942

Tomasz Czyżycki, Jiří Hrivnák

Publication date: 16 June 2010

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-009-0049-2

zbMATH Keywords

invariantsLie groupsLie algebrasequivalence transformationsgeneral Riccati equation

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (1)

Equivalence problem for compatible bi-Hamiltonian structures on three-dimensional orientable manifolds

Cites Work

• A precise definition of reduction of partial differential equations
• On \((\alpha,\beta,\gamma)\)-derivations of Lie algebras and corresponding invariant functions
• The Tresse theorem and differential invariants for the nonlinear Schrödinger equation
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