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Analysis of modified Painlevé–Ince equations

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Abstract

We apply symmetry methods to modified Painlevé–Ince type equations. We utilise the results to indicate the equivalence of some equations as well as the solvability of others. We also indicate the use of Noether symmetries in the reduction of some equations. The “factorization” approach is also shown to yield interesting results.

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Acknowledgements

KSG thanks the University of KwaZulu–Natal and the National Research Foundation of South Africa for ongoing support.

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  1. Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, South Africa

    K. S. Govinder

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Correspondence to K. S. Govinder.

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Govinder, K.S. Analysis of modified Painlevé–Ince equations. Ricerche mat 71, 17–27 (2022). https://doi.org/10.1007/s11587-020-00517-5

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