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Group theoretical approach to superposition rules for systems of Riccati equations

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Abstract

The group theoretical structure shown by Lie to underlie systems of ordinary differential equations having a superposition rule, is used to explicitly derive such rules for Riccati equations associated to projective and conformal group actions.

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Work supported in part by the National Sciences and Engineering Research Council of Canada and the Ministère de l'Education du Governement du Québec.

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Anderson, R.L., Harnad, J. & Winternitz, P. Group theoretical approach to superposition rules for systems of Riccati equations. Lett Math Phys 5, 143–148 (1981). https://doi.org/10.1007/BF00403243

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Keywords

  • Differential Equation
  • Statistical Physic
  • Ordinary Differential Equation
  • Group Action
  • Group Theory