Trilinear representation and the Moutard transformation for the Tzitzeica equation

Trilinear representation and the Moutard transformation for the Tzitzeica equation

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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Bibliographische Detailangaben
Hauptverfasser: Kaptsov, O. V, Shan'ko, Yu. V
Format: Artikel
Sprache:eng
Schlagworte:
Physics - Exactly Solvable and Integrable Systems
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Zusammenfassung: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.
DOI:10.48550/arxiv.solv-int/9704014