On solutions of third and fourth-order time dependent Riccati equations and the generalized Chazy system

Partha Guha; A. Ghose Choudhury; Barun Khanra

doi:10.1016/j.cnsns.2012.01.022

On solutions of third and fourth-order time dependent Riccati equations and the generalized Chazy system

Partha Guha, A. Ghose Choudhury, Barun Khanra

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	British English
Pages (from-to)	4053-4063
Number of pages	11
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	17
Issue number	11
DOIs	https://doi.org/10.1016/j.cnsns.2012.01.022
State	Published - Nov 2012

Keywords

F-XVI Bureau symbol PI
First integrals
Generalized Chazy equation
Nonlocal transformation
Third and fourth-order Riccati equation

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10.1016/j.cnsns.2012.01.022

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title = "On solutions of third and fourth-order time dependent Riccati equations and the generalized Chazy system",

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.",

keywords = "F-XVI Bureau symbol PI, First integrals, Generalized Chazy equation, Nonlocal transformation, Third and fourth-order Riccati equation",

author = "Partha Guha and {Ghose Choudhury}, A. and Barun Khanra",

year = "2012",

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AU - Ghose Choudhury, A.

AU - Khanra, Barun

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Y1 - 2012/11

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AB - 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.

KW - F-XVI Bureau symbol PI

KW - First integrals

KW - Generalized Chazy equation

KW - Nonlocal transformation

KW - Third and fourth-order Riccati equation

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SN - 1007-5704

VL - 17

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JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 11

ER -

On solutions of third and fourth-order time dependent Riccati equations and the generalized Chazy system

Abstract

Keywords

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