Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics~I:
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 19, Tome 335 (2006), pp. 22-49

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Possible factorizations of supersymmetric (SUSY) transformations in one-dimensional Quantum Mechanics into chains of elementary Darboux transformations with non-singular coefficients are investigated. The classification of irreducible (almost) isospectral transformations and of related SUSY algebras is presented. The detailed analysis of SUSY algebras and isospectral operators is done for the third-order case.
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     author = {A. A. Andrianov and A. V. Sokolov},
     title = {Factorization of nonlinear supersymmetry in one-dimensional {Quantum} {Mechanics~I:}},
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A. A. Andrianov; A. V. Sokolov. Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics~I:. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 19, Tome 335 (2006), pp. 22-49. http://geodesic.mathdoc.fr/item/ZNSL_2006_335_a1/