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Determinant Structure of the Rational Solutions for the Painlevé IV Equation

Kenji Kajiwara·Yasuhiro Ohta
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Abstract

Rational solutions for the Painlevé 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.

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Kenji Kajiwara, Yasuhiro Ohta. 1997-09-29. Determinant Structure of the Rational Solutions for the Painlevé IV Equation. https://doi.org/10.1088/0305-4470%2F31%2F10%2F017

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