Generalized de Rham-Hodge Theory of Delsarte Transmutation Operators in Multidimensional Case and Its Applications

DOI10.1007/S11072-005-0029-3zbMATH Open1093.58011OpenAlexW2029635688MaRDI QIDQ5473953

Yarema A. Prykarpatsky, A. M. Samojlenko

Publication date: 23 June 2006

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-005-0029-3

zbMATH Keywords

integrable dynamical systemsde Rham-Hodge theory

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Geometric methods in ordinary differential equations (34A26) de Rham theory in global analysis (58A12) Hodge theory in global analysis (58A14) Partial differential equations on manifolds; differential operators (58J99) Differential complexes (58J10) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (5)

The Structure of Gelfand-Levitan-Marchenko Type Equations for Delsarte Transmutation Operators of Linear Multi-Dimensional Differential Operators and Operator Pencils. Part 2 ⋮ The Structure of Gelfand-Levitan-Marhenko Type Equations for Delsarte Transmutation Operators of Linear Multidimensional Differential Operators and Operator Pencils. Part 1. ⋮ The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension ⋮ Theory of multidimensional Delsarte-Lions transmutation operators. II ⋮ Theory of multidimensional Delsarte-Lions transmutation operators. I

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