Variable separation approach for a differential-difference system: special Toda equation
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
A multi-linear variable separation approach is developed to solve a differential-difference Toda equation. The semi-discrete form of the continuous universal formula is found for a suitable potential of the differential-difference Toda system. Abundant semi-discrete localized coherent structures of the potential can be found by appropriately selecting the arbitrary functions of the semi-discrete form of the universal formula.
Cite
@article{arxiv.nlin/0210011,
title = {Variable separation approach for a differential-difference system: special Toda equation},
author = {Xian-min Qian and Sen-yue Lou and Xing-biao Hu},
journal= {arXiv preprint arXiv:nlin/0210011},
year = {2007}
}
Comments
12 pages, 6 figures