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1	THE APPLICATIONS OF THE SUPERCONFORMAL TRANSFORMATION IN THE INTEGRABLE MODELS // Tomsk State Pedagogical University Bulletin. 2012. Issue 13 (128). P. 134-138 We show that superconformal N = 2 transformation could be applied to the construction of the supersymmetric analogon of the reciprocal transformation. Due to it we present the connections between three different N = 2 supersymmetric extensions of the Korteweg de Vries equations with the three different N = 2 supersymmetric extension of the Harry Dym equation. Keywords: суперконформные преобразования, представление Лакса, суперсимметричные уравнения Кортевега-де Фриза и Гарри - Дыма	899

THE APPLICATIONS OF THE SUPERCONFORMAL TRANSFORMATION IN THE INTEGRABLE MODELS // Tomsk State Pedagogical University Bulletin. 2012. Issue 13 (128). P. 134-138

We show that superconformal N = 2 transformation could be applied to the construction of the supersymmetric analogon of the reciprocal transformation. Due to it we present the connections between three different N = 2 supersymmetric extensions of the Korteweg de Vries equations with the three different N = 2 supersymmetric extension of the Harry Dym equation.

Keywords: суперконформные преобразования, представление Лакса, суперсимметричные уравнения Кортевега-де Фриза и Гарри - Дыма

899

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