Discretising systematically the Painleve equations

作者：Murata M; Satsuma J; Ramani A; Grammaticos B^*

来源：Physica D: Nonlinear Phenomena , 2011, 240(3): 305-309.

DOI：10.1016/j.physd.2010.09.007

• Discretisation
• Painleve equations
• Discrete models
• Integrable mappings

We apply a method that we have already proposed for the systematic discretisation of differential systems to the construction of discrete analogues of the Painleve equations. The important point is that in the case of the Painleve equations one needs to preserve the integrability. We show that this is indeed possible using our systematic procedure applied to the equations obtained from the Hamiltonian description of the Painleve equations.

• 出版日期2011-2-1