A class of solutions of the two-dimensional Toda lattice equation
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. 52, 380 (1983)] is shown to correspond to one particular choice of φ(x,y).
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