Determinant Structure of the Rational Solutions for the Painlevé IV Equation

نویسندگان

  • Kenji Kajiwara
  • Yasuhiro Ohta
چکیده

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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تاریخ انتشار 1997