Determinant Structure of the Rational Solutions for the Painlev\'e IV Equation
solv-int
2009-10-30 v1 Exactly Solvable and Integrable Systems
Abstract
Rational solutions for the Painlev\'e IV equation are investigated by Hirota bilinear formalism. It is shown that the solutions in one hierarchy are expressed by 3-reduced Schur functions, and those in another two hierarchies by Casorati determinant of the Hermite polynomials, or by special case of the Schur polynomials.
Keywords
Cite
@article{arxiv.solv-int/9709011,
title = {Determinant Structure of the Rational Solutions for the Painlev\'e IV Equation},
author = {Kenji Kajiwara and Yasuhiro Ohta},
journal= {arXiv preprint arXiv:solv-int/9709011},
year = {2009}
}
Comments
19 pages, Latex, using theorem.sty