A remark on the Hankel determinant formula for solutions of the Toda equation

Kenji Kajiwara, Marta Mazzocco, Yasuhiro Ohta

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

We consider the Hankel determinant formula of the τ functions of the Toda equation. We present a relationship between the determinant formula and the auxiliary linear problem, which is characterized by a compact formula for the τ functions in the framework of the KP theory. Similar phenomena that have been observed for the Painlevé II and IV equations are recovered. The case of finite lattice is also discussed.

Original languageEnglish
Pages (from-to)12661-12675
Number of pages15
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
Issue number42
DOIs
Publication statusPublished - Oct 19 2007

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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