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Integrability of Riccati equations and stationary Korteweg-de vries equations

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Abstract

By using the Lie infinitesimal method, we establish the correspondence between the integrability of a one-parameter family of Riccati equations and the hierarchy of the higher Korteweg-de Vries equations.

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Authors
  1. R. Z. Zhdanov
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal. Vol. 51, No. 6, pp. 856–860, June, 1999.

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Zhdanov, R.Z. Integrability of Riccati equations and stationary Korteweg-de vries equations. Ukr Math J 51, 958–962 (1999). https://doi.org/10.1007/BF02591984

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  • DOI: https://doi.org/10.1007/BF02591984

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