A class of solutions of the two-dimensional Toda lattice equation
Exactly Solvable and Integrable Systems
2020-12-02 v1 Mathematical Physics
math.MP
Plasma Physics
Abstract
A method is proposed to systematically generate solutions of the two-dimensional Toda lattice equation in terms of previously known solutions 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 .
Keywords
Cite
@article{arxiv.2009.03766,
title = {A class of solutions of the two-dimensional Toda lattice equation},
author = {Vinicius Duarte},
journal= {arXiv preprint arXiv:2009.03766},
year = {2020}
}