On the Bäcklund transformations of the Riccati equation: the differential-geometric approach revisited

DOI10.1016/S0034-4877(05)80050-3zbMath1095.34005OpenAlexW2078278674WikidataQ115339946 ScholiaQ115339946MaRDI QIDQ2577542

Jolanta Golenia

Publication date: 3 January 2006

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(05)80050-3

zbMATH Keywords

Riccati equationBäcklund transformation

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Explicit solutions, first integrals of ordinary differential equations (34A05) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

• On integrable by quadratures generalized Riccati-Abel equations: Differential-geometric and Lie-algebraic analysis
• The Integrability of Lie-invariant Geometric Objects Generated by Ideals in the Grassmann Algebra
• The Structure of Gelfand-Levitan-Marhenko Type Equations for Delsarte Transmutation Operators of Linear Multidimensional Differential Operators and Operator Pencils. Part 1.
• The Moser type reduction of integrable Riccati differential equations and its Lie-algebraic structure
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