On the Complete Integrability of Nonlinear Dynamical Systems on Discrete Manifolds within the Gradient-Holonomic Approach

Details On the Complete Integrability of Nonlinear Dynamical Systems on Discrete Manifolds within the Gradient-Holonomic Approach On the Complete Integrability of Nonlinear Dynamical Systems on Discrete Manifolds within the Gradient-Holonomic Approach

2010-10-12

arxiv.org/abs/1010.2531v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages

Scientific paper

A gradient-holonomic approach for the Lax type integrability analysis of
differentialdiscrete dynamical systems is devised. The asymptotical solutions
to the related Lax equation are studied, the related gradient identity is
stated. The integrability of a discrete nonlinear Schredinger type dynamical
system is treated in detail.

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