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

Kenji Kajiwara; Marta Mazzocco; Yasuhiro Ohta

doi:10.1088/1751-8113/40/42/S11

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

Kenji Kajiwara, Marta Mazzocco, Yasuhiro Ohta

応用理論研究部門

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

11 被引用数 (Scopus)

抄録

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.

本文言語	英語
ページ（範囲）	12661-12675
ページ数	15
ジャーナル	Journal of Physics A: Mathematical and Theoretical
巻	40
号	42
DOI	https://doi.org/10.1088/1751-8113/40/42/S11
出版ステータス	出版済み - 10月 19 2007

!!!All Science Journal Classification (ASJC) codes

統計物理学および非線形物理学
統計学および確率
モデリングとシミュレーション
数理物理学
物理学および天文学（全般）

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

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!!!All Science Journal Classification (ASJC) codes

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