Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841753 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 10 Pages |
Abstract
A general approach is proposed for discretizing nonlinear dynamical systems and field theories on suitable functional spaces, defined over a regular lattice of points, in such a way that both their symmetry and integrability properties are preserved. A class of discrete KdV equations is introduced. Also, new hierarchies of discrete evolution equations of Gelfand-Dickey type are defined.
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Authors
Piergiulio Tempesta,