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.
No takes yet. Share an insight, caveat, or question.
A 1998 study studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: