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On solutions of third and fourth-order time dependent Riccati equations and the generalized Chazy system
Authors:Partha Guha  A Ghose Choudhury  Barun Khanra
Institution:1. School of Computing, Electronic and Mathematics, Plymouth University, Plymouth, UK;2. Departament de Matemàtica, Universitat de Lleida, Av. Jaume II, 69, Lleida, Catalonia 25001, Spain
Abstract:We introduce a new transformation (nonlocal) to find the general solutions of some equations belonging to the third and fourth-order time dependent Riccati class of equations. These are in turn related to the Chazy polynomial class and the time dependent F-XVI Bureau symbol PI equations respectively.
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