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arXiv · 2009.03766

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

Vinicius Duarte
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Abstract

A method is proposed to systematically generate solutions of the two-dimensional Toda lattice equation in terms of previously known solutions $ϕ\left(x,y\right)$ 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 $ϕ\left(x,y\right)$.

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Vinicius Duarte. 2020-09-08. A class of solutions of the two-dimensional Toda lattice equation. https://doi.org/10.1016/j.physleta.2020.126979

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