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- W3101762633 abstract "In this paper, we determine a recursion operator for the Kummer-Schwarz equation, which leads to a sequence with unacceptable singularity properties. A different sequence is devised based upon the relationship between the Kummer-Schwarz equation and the first-order Riccati equation for which a particular generator has been found to give interesting and excellent properties. We examine the elements of this sequence in terms of the usual properties to be investigated – symmetries, singularity properties, integrability, alternate sequence – and provide an explanation of the curious relationship between the results of the singularity analysis and a consideration of the solution of each element obtained by quadratures." @default.
- W3101762633 created "2020-11-23" @default.
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- W3101762633 date "2020-11-16" @default.
- W3101762633 modified "2023-09-27" @default.
- W3101762633 title "PROPERTIES OF A DIFFERENTIAL SEQUENCE BASED UPON THE KUMMER-SCHWARZ EQUATION" @default.
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- W3101762633 doi "https://doi.org/10.14311/ap.2020.60.0428" @default.
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