Trilinear representation and the Moutard transformation for the Tzitzeica equation
O. V. Kaptsov, Yu. V. Shan'ko
Abstract
In the paper we present a trilinear form and a Darboux-type transformation to an equation considered by Tzitzeica in 1910. This equation equivalent to the Bullough-Dodd-Jiber-Shabat equation. Soliton solutions are constructed by dressing the trivial solution.
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