论文标题

二维TODA晶格方程的一类解决方案

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

论文作者

Duarte, Vinicius

论文摘要

提出了一种方法,以系统地生成二维TODA晶格方程的解决方案,以先前已知的解决方案$ ϕ \ left(x,y \ right)$的二维拉普拉斯方程式。中村的二维解决方案[J.物理。 Soc。 JPN。 \ textbf {52},380(1983)]表明对应于$ ϕ \ left(x,y \ right)$的一种特定选择。

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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