Darboux theorems and factorization of second- and third-order ordinary differential operators
- 1 October 1991
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 7 (5) , 645-654
- https://doi.org/10.1088/0266-5611/7/5/001
Abstract
Those theorems of Darboux-type which are presently known in the cases of second- and third-order ordinary differential operators are related to factorization of such operators. Iterations of the corresponding Darboux transformations lead to expressions for coefficients in terms of Wronskians, Pfaffians and Grammian determinants.Keywords
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