On completeness of the Moutard transformations
solv-int
2008-02-03 v2 Exactly Solvable and Integrable Systems
Abstract
In this paper we solve positively the problem of (local) density of the "potentials" M(x,y) of the Moutard equation, u_{xy} = M(x,y) u, u=u(x,y), (used in many papers for construction of exact solutions of (2+1)-dimensional integrable systems) obtainable from a given initial potential with consecutive Moutard transformations.
Cite
@article{arxiv.solv-int/9606001,
title = {On completeness of the Moutard transformations},
author = {E. I. Ganzha},
journal= {arXiv preprint arXiv:solv-int/9606001},
year = {2008}
}
Comments
6 pages (17 Kbytes), standard LaTeX 2.09, run twice to get the right cross-references. Resubmitted with the only correction: acknowledgment of grant RBFR 96-01-00050 support