On the Complete Integrability of Nonlinear Dynamical Systems on Discrete Manifolds within the Gradient-Holonomic Approach
arXiv:1010.2531 · doi:10.1016/S0034-4877(12)60011-1
Abstract
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.
20 pages
References in corpus (3)
- Differential-Algebraic Integrability Analysis of the Generalized Riemann Type and Korteweg-de Vries Hydrodynamical Equations
- The non-polynomial conservation laws and integrability analysis of generalized Riemann type hydrodynamical equations
- The matrix Lax representation of the generalized Riemann equations and its conservation Laws