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Thin Leibniz algebras |
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| Authors: | B. A. Omirov |
| Affiliation: | (1) A. I. Gertsen Russian State Pedagogical University, Russia;(2) St. Petersburg State University of Aerospace Engineering, St. Petersburg, Russia |
| Abstract: | In this paper, we study the Darboux transformation of the Darboux-Treibich-Verdier equation. On the basis of this transformation, we construct a generalization of the Darboux transformation to the case of the Heun equation and to other linear ordinary differential equations of second order. Examples are given. |
| Keywords: | Heun equation Darboux transformation Darboux-Treibich-Verdier equation linear ordinary differential equations of second order the Schrodinger operator Bessel equation |
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