Discrete Toda field equations.

Ward, R.S.

Abstract

There are two-dimensional Toda field equations corresponding to each (finite or affine) Lie algebra. The question addressed in this note is whether there exist integrable discrete versions of these. It is shown that for certain algebras (such as An, An(1) and Bn) there do, but some of these systems are defined on the half-plane rather than the full two-dimensional lattice.

Citation

Ward, R. (1995). Discrete Toda field equations. Physics Letters A, 199(1-2), 45-48. https://doi.org/10.1016/0375-9601%2895%2900108-f

• Journal Article Type: Article
• Acceptance Date: Feb 3, 1995
• Publication Date: 1995-03
• Journal: Physics Letters A
• Print ISSN: 0375-9601
• Publisher: Elsevier
• Volume: 199
• Issue: 1-2
• Pages: 45-48
• DOI: https://doi.org/10.1016/0375-9601%2895%2900108-f