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Symmetry nonintegrability for extended K(mnp) equation

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Abstract

In the present paper we study symmetries of extended K(mnp) equations and prove that the equations from this class have no generalized symmetries of order greater than five and hence are not symmetry integrable.

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Acknowledgements

This research was supported by the Specific Research grant SGS/6/2017 of the Silesian University in Opava. I would like to express my most sincere gratitude to Artur Sergyeyev for stimulating discussions and valuable comments. I also thank the referees for useful suggestions. A significant part of the computations in the article were performed using the package Jets [1].

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Specific Research Grant SGS/6/2017 of the Silesian University in Opava.

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Correspondence to Jakub Vašíček.

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Vašíček, J. Symmetry nonintegrability for extended K(mnp) equation. J Math Chem 60, 417–422 (2022). https://doi.org/10.1007/s10910-021-01312-9

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  • DOI: https://doi.org/10.1007/s10910-021-01312-9

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