Tuesday, July 30, 2013

1307.7585 (P. Winternitz et al.)

First integrals of ordinary difference equations which do not possess a
variational formulation
   [PDF]

P. Winternitz, V. Dorodnitsyn, E. Kaptsov, R. Kozlov
The paper presents a new method for finding first integrals of ordinary difference equations which do not possess Lagrangians, nor Hamiltonians. As an example we solve a third order nonlinear ordinary differential equation and its invariant discretization using three first integrals obtained using this method.
View original: http://arxiv.org/abs/1307.7585

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