Journal of Mathematical Physics 46, 033515 (2005)

Darboux transformations and exact solutions of two dimensional A2n(2) Toda equation

Zi-Xiang Zhou

Abstract

The Darboux transformations for two dimensional A2n(2) Toda equation are constructed. The lowest degree of the Darboux transformation is 2(2n+1) if all the spectral parameters are complex, or 2n+1 if one spectral parameter is real. Exact solutions are written down by computing the Darboux transformations explicitly.

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