Coupled Nonlinear Schr\"{o}dinger equation and Toda equation (the Root of Integrability)
solv-int
2009-10-30 v2 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
We consider the relation between the discrete coupled nonlinear Schr\"{o}dinger equation and Toda equation. Introducing complex times we can show the intergability of the discrete coupled nonlinear Schr\"{o}dinger equation. In the same way we can show the integrability in coupled case of dark and bright equations. Using this method we obtain several integrable equations.
Keywords
Cite
@article{arxiv.solv-int/9701022,
title = {Coupled Nonlinear Schr\"{o}dinger equation and Toda equation (the Root of Integrability)},
author = {Masato Hisakado},
journal= {arXiv preprint arXiv:solv-int/9701022},
year = {2009}
}
Comments
11 pages, LateX, to apper in J. Phys. Soc. Jpn. Vol. 66, No 7