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.
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Translated from Matematicheskie Zametki, vol. 79, no. 2, 2006, pp. 267–277.
Original Russian Text Copyright © 2006 by Yu. N. Sirota, A. O. Smirnov.
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Sirota, Y.N., Smirnov, A.O. The Heun Equation and the Darboux Transformation. Math Notes 79, 244–253 (2006). https://doi.org/10.1007/s11006-006-0027-5
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DOI: https://doi.org/10.1007/s11006-006-0027-5