Article A discrete Adomian decomposition method for discrete nonline...

To: [email protected]

(Matthias Ehrhardt)

Dear Dr. Matthias Ehrhardt,

Your work is looking very interesting as the one trying to analyze the nature of discretization procedure, in particular in the case of integrable evolution PDE's. concerning this problem, whose beginning is closely related with the Pasta-Ulam classical research, one can single out the effect of breaking the initial integrability after discretization of the problem under regard and finding effective analytical tests for its integrable discretizations, possessing the related conservation laws, Hamiltonian structure etc. Especially this problem becomes actual subject to the evolution FDE's problems with fractional spatial derivations, nowadays widely applied in many technical research related with composite materials, based on nanostructurers etc. EWventually, it would be interesting to you to get familiar with the following recent research to the aspects I mentioned. With best regards,

Anatolij P.

P.S. Enclosed you can find some references.