On de Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in multidimension and its applications

DOI10.1016/S0034-4877(05)80051-5zbMath1085.58029arXivmath-ph/0404026OpenAlexW1985237099MaRDI QIDQ2577543

Anatoliy K. Prykarpatsky, Yarema A. Prykarpatsky, A. M. Samoilenko

Publication date: 3 January 2006

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0404026

zbMATH Keywords

Dirac operatorLaplace operatorDarboux transformationoperator pencilssoliton-like solutionsde Rham-Hodge-Skrypnik differential complexDelsarte transmutation operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Geometric methods in ordinary differential equations (34A26) Differential complexes (58J10) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (2)

Integrable three-dimensional coupled nonlinear dynamical systems related to centrally extended operator Lie algebras and their Lax type three-linearization ⋮ Theory of multidimensional Delsarte-Lions transmutation operators. I

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