Conservation laws of some lattice equations
Exactly Solvable and Integrable Systems
2014-08-28 v1
Abstract
We derive infinitely many conservation laws for some multi-dimensionally consistent lattice equations from their Lax pairs. These lattice equations are the Nijhoff-Quispel-Capel equation, lattice Boussinesq equation, lattice nonlinear Schr\"{o}dinger equation, modified lattice Boussinesq equation, Hietarinta's Boussinesq-type equations, Schwarzian lattice Boussinesq equation and Toda-modified lattice Boussinesq equation.
Keywords
Cite
@article{arxiv.1212.2319,
title = {Conservation laws of some lattice equations},
author = {Jun-wei Cheng and Da-jun Zhang},
journal= {arXiv preprint arXiv:1212.2319},
year = {2014}
}