Division of Differential operators, intertwine relations and Darboux Transformations

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dc.creatorLeble, Sergei B.
dc.creatorZaitsev, A. A.
dc.date1999-03-02
dc.date.accessioned2026-07-07T04:32:43Z
dc.date.available2026-07-07T04:32:43Z
dc.descriptionThe problem of a differential operator left- and right division is solved in terms of generalized Bell polinomials for nonabelian differential unitary ring. The definition of the polinomials is made by means of recurrent relations. The expresions of classic Bell polinomils via generalized one is given. The conditions of an exact factorization possibility leads to the intertwine relation and results in some linearizable generalized Burgers equation. An alternative proof of the Matveev theorem is given and Darboux - Matveev transformations formula for coefficients follows from the intertwine relations and also expressed in the generalized Bell polinomials.
dc.identifierhttps://arxiv.org/abs/math-ph/9903005
dc.identifierhttp://arxiv.org/abs/math-ph/9903005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58292
dc.subjectMathematical Physics
dc.titleDivision of Differential operators, intertwine relations and Darboux Transformations
dc.typetext

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