Kenji Kajiwara and Yasuhiro Ohta 1998 J. Phys. A: Math. Gen. 31 2431 doi:10.1088/0305-4470/31/10/017
Kenji Kajiwara
and Yasuhiro Ohta![]()
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 determinants of the Hermite polynomials, or by a special case of the Schur polynomials.
11C20 Matrices, determinants (See also 15A36)
17B80 Applications to integrable systems
15A15 Determinants, permanents, other special matrix functions (See also 19B10, 19B14)
Issue 10 (13 March 1998)
Received 29 September 1997
Kenji Kajiwara and Yasuhiro Ohta 1998 J. Phys. A: Math. Gen. 31 2431
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