Determinant Structure of the Rational Solutions for the Painlevé II Equation
arXiv:solv-int/9607002 · doi:10.1063/1.531648
Abstract
Two types of determinant representations of the rational solutions for the Painlevé 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.
16 pages LaTeX. To appear in J. Math. Phys.(1996)
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