A survey of the spectral and differential geometric aspects of the De Rham-Hodge-Skrypnik theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems. Part 2

Simple item page
dc.creatorPrykarpatsky, Y. A.
dc.creatorSamoilenko, A. M.
dc.creatorPrykarpatsky, A. K.
dc.date2004-06-25
dc.date.accessioned2026-07-07T04:31:18Z
dc.date.available2026-07-07T04:31:18Z
dc.descriptionThe differential-geometric and topological structure of Delsarte transmutation operators and associated with them Gelfand-Levitan-Marchenko type eqautions are studied making use of the De Rham-Hodge-Skrypnik differential complex. The relationships with spectral theory and special Berezansky type congruence properties of Delsarte transmuted operators are stated. Some applications to multidimensional differential operators are done including three-dimensional Laplace operator, two-dimensional classical Dirac operator and its multidimensional affine extension, related with self-dual Yang-Mills eqautions. The soliton like solutions to the related set of nonlinear dynamical systemare discussed.
dc.identifierhttps://arxiv.org/abs/math-ph/0406064
dc.identifierhttp://arxiv.org/abs/math-ph/0406064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57763
dc.subjectMathematical Physics
dc.titleA survey of the spectral and differential geometric aspects of the De Rham-Hodge-Skrypnik theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems. Part 2
dc.typetext

Files

Collections

arXiv