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

Autor:	Jolanta Golenia
Rok vydání:	2005
Předmět:	Algebra Nonlinear Sciences::Exactly Solvable and Integrable Systems Riccati equation Mathematics::Mathematical Physics Statistical and Nonlinear Physics Type (model theory) Mathematical Physics Differential (mathematics) Mathematics Algebraic Riccati equation
Zdroj:	Reports on Mathematical Physics. 55:341-349
ISSN:	0034-4877
DOI:	10.1016/s0034-4877(05)80050-3
Popis:	Making use of well-known results [ [3] , [5] ]and newly discovered differential-geometric properties of adjoint pairs of differential Lax type operators [ [13] , [14] , [15] , [16] , [17] ] corresponding to Riccati-Abel equations, we construct novel generalized Backlund transformations for the classical canonical Riccati equation. In addition we prove some new results concerning solutions to generalized Riccati equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::257b52ee3a12c526cc5fb1570af37cdc https://doi.org/10.1016/s0034-4877(05)80050-3 Zobrazit plný text záznamu Full Text from ScienceDirect