q-Difference Version of the Two-Dimensional Toda Lattice Equation

Kenji Kajiwara, Junkichi Satsuma

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

A q-difference version of the two-dimensional Toda lattice equation is proposed. Through a suitable reduction, it reduces to the q-difference version of the cylindrical Toda lattice equation. It is shown that the reduced equation admits solutions expressed by the q-Bessel function.

Original languageEnglish
Pages (from-to)3986-3989
Number of pages4
Journaljournal of the physical society of japan
Volume60
Issue number12
DOIs
Publication statusPublished - Jan 1 1991

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Bessel functions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

q-Difference Version of the Two-Dimensional Toda Lattice Equation. / Kajiwara, Kenji; Satsuma, Junkichi.

In: journal of the physical society of japan, Vol. 60, No. 12, 01.01.1991, p. 3986-3989.

Research output: Contribution to journalArticle

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