Solutions of Non-linear Differential and Difference Equations with Superposition Formulas

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Matrix Riccati equations and other nonlinear ordinary differential equations with superposition formulas are, in the case of constant coefficients, shown to have the same exact solutions as their group theoretical discretizations. Explicit solutions of certain classes of scalar and matrix Riccati equations are presented as an illustration of the general results.
17 pages, REVTeX, submitted to Journ.Math.Phys

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/94520

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9905003
 http://arxiv.org/abs/solv-int/9905003

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arXiv