Folding transformations of equations from the Gambier family

•Using a generalized folding transformation we establish a connection between the generalized second-order Abel and Gambier equations.•As an application (dynamical) of folding transformation we find that the Darboux polynomials are invariant.•In consequence of this invariance the first integrals are...

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Veröffentlicht in:	Communications in nonlinear science & numerical simulation 2015-05, Vol.22 (1-3), p.1028-1035
Hauptverfasser:	Guha, Partha, Ghose Choudhury, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Abel sequence of differential equations Chains Computer simulation Folding Folding transformation Gambier equation Integrals Mathematical analysis Nonlinearity Polynomials Transformations Transformations (mathematics)
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