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solv-int1999
Solutions of Non-linear Differential and Difference Equations with Superposition Formulas
Alexander Turbiner, Pavel Winternitz
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 sol…
solv-int1997
Two-body Elliptic Model in proper variables: Lie-algebraic forms and their discretizations
Alexander Turbiner
Two Lie algebraic forms of the 2-body Elliptic Calogero model are presented. Translation-invariant and dilatation-invariant discretizations of the model are obtained.