Classification of evolutionary equations on the lattice. I. The general theory
| dc.creator | Levi, D. | |
| dc.creator | Yamilov, R. | |
| dc.date | 1995-11-16 | |
| dc.date.accessioned | 2026-07-07T09:17:50Z | |
| dc.date.available | 2026-07-07T09:17:50Z | |
| dc.description | A modification of the symmetry approach for the classification of integrable differential-difference equations of the form $$ u_{n,t} = f_n(u_{n-1}, u_n, u_{n+1}), $$ where $n$ is a discrete integer variable, is presented (the well-known Volterra and Toda equations can be written in this form). If before, in the framework of the symmetry approach, only equations similar to $$ u_{n,t} = f(u_{n-1}, u_n, u_{n+1}), $$ i.e. defined by a function $f$, were considered, now we have an infinite set $f_n$ of a priori quite different functions. | |
| dc.description | 24 pages, AmsTeX | |
| dc.identifier | https://arxiv.org/abs/solv-int/9511006 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9511006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153812 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Classification of evolutionary equations on the lattice. I. The general theory | |
| dc.type | text |