On integrable by quadratures generalized Riccati-Abel equations: Differential-geometric and Lie-algebraic analysis

DOI10.1016/S0034-4877(99)80156-6zbMath0952.34004WikidataQ115339875 ScholiaQ115339875MaRDI QIDQ1573848

Jolanta Napora

Publication date: 9 August 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Liouville equationintegrability by quadraturesgeneralized Riccati-Abel equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (4)

Integrability of Lie Systems through Riccati Equations ⋮ LIE SYSTEMS AND INTEGRABILITY CONDITIONS FOR t-DEPENDENT FREQUENCY HARMONIC OSCILLATORS ⋮ The Moser type reduction of integrable Riccati differential equations and its Lie-algebraic structure ⋮ On the Bäcklund transformations of the Riccati equation: the differential-geometric approach revisited

Cites Work

• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Prolongation structures of nonlinear evolution equations. II
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