Darboux polynomial matrices: the classical Massive Thirring Model as study case
Exactly Solvable and Integrable Systems
2014-12-01 v1 Mathematical Physics
math.MP
Abstract
One way of constructing explicit expressions of solutions of integrable systems of Partial Differential Equations (PDEs) goes via the Darboux method. This requires the construction of Darboux matrices. Here we introduce a novel algorithm to obtain such matrices in polynomial form. Our method is illustrated by applying it to the classical Massive Thirring Model (MTM), and by combining it with the Dihedral group of symmetries possessed by this model.
Cite
@article{arxiv.1411.7965,
title = {Darboux polynomial matrices: the classical Massive Thirring Model as study case},
author = {Antonio Degasperis},
journal= {arXiv preprint arXiv:1411.7965},
year = {2014}
}
Comments
12 pages