A NEW LIE–SYSTEMS APPROACH TO SECOND-ORDER RICCATI EQUATIONS
From MaRDI portal
Publication:2911919
DOI10.1142/S0219887812600079zbMath1271.34039arXiv1110.3298OpenAlexW3105881720MaRDI QIDQ2911919
José F. Cariñena, Cristina Sardón, Javier de Lucas
Publication date: 3 September 2012
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.3298
Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)
Related Items
Geometric Hamilton–Jacobi theory on Nambu–Poisson manifolds ⋮ On the linearization of isochronous centre of a modified Emden equation with linear external forcing ⋮ LIE–HAMILTON SYSTEMS: THEORY AND APPLICATIONS
Cites Work
- Unnamed Item
- Group theoretical approach to superposition rules for systems of Riccati equations
- Formal continued fractions solutions of the generalized second order Riccati equations. Applications
- Superposition rules, Lie theorem, and partial differential equations
- Lagrangian formalism for nonlinear second-order Riccati systems: One-dimensional integrability and two-dimensional superintegrability
- A class of second-order differential equations and related first-order systems
- On higher-order Riccati equations as Bäcklund transformations
- Comparison Theorems for Second Order Riccati Equations with Applications
- Reduction of time-dependent systems admitting a superposition principle