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The Heun Equation and the Darboux Transformation.

Authors :
Sirota, Yu. N.
Smirnov, A. O.
Source :
Mathematical Notes. Jan/Feb2006, Vol. 79 Issue 1/2, p245-254. 10p.
Publication Year :
2006

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*DARBOUX transformations
*PARTIAL differential equations
*DIFFERENTIAL equations
*MATHEMATICS
*EQUATIONS
*ALGEBRA

Details

Language :
English
ISSN :
00014346
Volume :
79
Issue :
1/2
Database :
Academic Search Index
Journal :
Mathematical Notes
Publication Type :
Academic Journal
Accession number :
19537808
Full Text :
https://doi.org/10.1007/s11006-006-0027-5
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