From Discrete to Continuous Painlev\'e Equations: A Bilinear Approach
solv-int
2009-10-30 v1 Exactly Solvable and Integrable Systems
Abstract
We present the bilinear forms of the (continuous) Painlev\'e equations obtained from the continuous limit of the analogous expresssions for the discrete ones. The advantage of this method is that it leads to very symmetrical results. A new and interesting result is the bilinearization of the P equation, something that was missing till now.
Keywords
Cite
@article{arxiv.solv-int/9603002,
title = {From Discrete to Continuous Painlev\'e Equations: A Bilinear Approach},
author = {Y. Ohta and A. Ramani and B. Grammaticos and K. M. Tamizhmani},
journal= {arXiv preprint arXiv:solv-int/9603002},
year = {2009}
}
Comments
9 pages, plainTeX