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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-int1998★ 26 cited
Symmetries of Discrete Dynamical Systems Involving Two Species
D. Gomez-Ullate, S. Lafortune, P. Winternitz
The Lie point symmetries of a coupled system of two nonlinear differential-difference equations are investigated. It is shown that in special cases the symmetry group can be infini…