The Delsarte-Darboux type binary transformations and their differential-geometric and operator structure. Part 1

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dc.creatorPrykarpatsky, Y. A.
dc.creatorSamoilenko, A. M.
dc.creatorPrykarpatsky, A. K.
dc.creatorSamoylenko, V. Hr.
dc.date2004-03-29
dc.date.accessioned2026-07-07T04:31:03Z
dc.date.available2026-07-07T04:31:03Z
dc.descriptionThe structure properties of multidimensional Delsarte-Darboux transmutation operators in parametric functional spaces is studied by means of differential-geometric and topological tools. It is shown that kernels of the corresponding integral operator expressions depend on the topological structure of related homological cycles in the coordinate space. As a natural realization of the construction presented we build pairs of Lax type commutative differential operator expressions related via a Delsarte-Darboux transformation and having a lot of applications in soliton theory.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0403055
dc.identifierhttp://arxiv.org/abs/math-ph/0403055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57683
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.titleThe Delsarte-Darboux type binary transformations and their differential-geometric and operator structure. Part 1
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