TY  - JOUR
ID  - Blackmore2012
LB  - Blackmore2012
AU  - Blackmore, Denis
AU  - Prykarpatsky, Anatoliy K.
AU  - Prykarpatsky, Yarema A.
TI  - Isospectral integrability analysis of dynamical systems on discrete manifolds
ST  - Isospectral integrability analysis of dynamical systems on discrete manifolds
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2012
VL  - 32
IS  - 1
SP  - 41
EP  - 66
DO  - http://dx.doi.org/10.7494/OpMath.2012.32.1.41
UR  - http://dx.doi.org/10.7494/OpMath.2012.32.1.41
AB  - It is shown how functional-analytic gradient-holonomic structures can be used for an isospectral integrability analysis of nonlinear dynamical systems on discrete manifolds. The approach developed is applied to obtain detailed proofs of the integrability of the discrete nonlinear Schrödinger, Ragnisco-Tu and Riemann-Burgers dynamical systems.
KW  - gradient holonomic algorithm
KW  - conservation laws
KW  - asymptotic analysis
KW  - Poissonian structures
KW  - Lax representation
KW  - finite-dimensional reduction
KW  - Liouville integrability
KW  - nonlinear discrete dynamical systems
SN  - 1232-9274
ER  -