Discrete symmetry's chains and links between integrable equations
Exactly Solvable and Integrable Systems
2015-06-26 v1
Abstract
The discrete symmetry's dressing chains of the nonlinear Schrodinger equation (NLS) and Davey-Stewartson equations (DS) are consider. The modified NLS (mNLS) equation and the modified DS (mDS) equations are obtained. The explicitly reversible Backlund auto-transformations for the mNLS and mDS equations are constructed. We demonstrate discrete symmetry's conjugate chains of the KP and DS models. The two-dimensional generalization of the P4 equation are obtained.
Cite
@article{arxiv.nlin/0207001,
title = {Discrete symmetry's chains and links between integrable equations},
author = {Artyom Yurov},
journal= {arXiv preprint arXiv:nlin/0207001},
year = {2015}
}
Comments
20 pages