Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7155703 | Communications in Nonlinear Science and Numerical Simulation | 2015 | 8 Pages |
Abstract
Using Okamoto's folding transformation we investigate the mapping of the Gambier equation and its higher-order analogs to the generalized Abel chain of equations. In particular we show how the Darboux polynomials and first integral of the Abel equation can be mapped to an equation of the Gambier type using folding transformations.
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Authors
Partha Guha, A. Ghose Choudhury,