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

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

1999-05-06

arxiv.org/abs/solv-int/9905003v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages, REVTeX, submitted to Journ.Math.Phys

Scientific paper

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.

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