Trilinear representation and the Moutard transformation for the Tzitzeica equation

Details Trilinear representation and the Moutard transformation for the Tzitzeica equation Trilinear representation and the Moutard transformation for the Tzitzeica equation

1997-04-21

arxiv.org/abs/solv-int/9704014v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages (30 Kbytes), standard LaTeX 2.09, run twice to get the right cross-references

Scientific paper

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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