Determinant structure of the rational solutions for the Painlevé IV equation

Kenji Kajiwara, Yasuhiro Ohta

Research output: Contribution to journalArticle

45 Citations (Scopus)

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 determinants of the Hermite polynomials, or by a special case of the Schur polynomials.

Original languageEnglish
Pages (from-to)2431-2446
Number of pages16
JournalJournal of Physics A: Mathematical and General
Volume31
Issue number10
DOIs
Publication statusPublished - Mar 13 1998
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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