Determinant Structure of the Rational Solutions for the Painlev\'e II Equation
solv-int
2009-10-30 v1 Exactly Solvable and Integrable Systems
Abstract
Two types of determinant representations of the rational solutions for the Painlev\'e II equation are discussed by using the bilinear formalism. One of them is a representation by the Devisme polynomials, and another one is a Hankel determinant representation. They are derived from the determinant solutions of the KP hierarchy and Toda lattice, respectively.
Keywords
Cite
@article{arxiv.solv-int/9607002,
title = {Determinant Structure of the Rational Solutions for the Painlev\'e II Equation},
author = {Kenji Kajiwara and Yasuhiro Ohta},
journal= {arXiv preprint arXiv:solv-int/9607002},
year = {2009}
}
Comments
16 pages LaTeX. To appear in J. Math. Phys.(1996)