A class of solutions of the two-dimensional Toda lattice equation

Vinicius Duarte

doi:10.1016/j.physleta.2020.126979

paper

A class of solutions of the two-dimensional Toda lattice equation

arXiv:2009.03766 · doi:10.1016/j.physleta.2020.126979

Abstract

A method is proposed to systematically generate solutions of the two-dimensional Toda lattice equation in terms of previously known solutions $ϕ (x, y)$ of the two-dimensional Laplace's equation. The two-dimensional solution of Nakamura's [J. Phys. Soc. Jpn. \textbf{52}, 380 (1983)] is shown to correspond to one particular choice of $ϕ (x, y)$ .