The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory. Part 2

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dc.creatorGolenia, J.
dc.creatorPrykarpatsky, Y. A.
dc.creatorSamoilenko, A. M.
dc.creatorPrykarpatsky, A. K.
dc.date2004-04-06
dc.date.accessioned2026-07-07T04:31:05Z
dc.date.available2026-07-07T04:31:05Z
dc.descriptionThe structure properties of multidimensional Delsarte transmutation operators in parametirc functional spaces are studied by means of differential-geometric 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 commutive differential operator expressions related via a Darboux-Backlund transformation having a lot of applications in solition theory. Some results are also sketched concerning theory of Delsarte transmutation operators for affine polynomial pencils of multidimensional differential operators.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0404016
dc.identifierhttp://arxiv.org/abs/math-ph/0404016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57694
dc.subjectMathematical Physics
dc.titleThe general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory. Part 2
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