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

• Autorzy: Prykarpatsky Y.A. , Samoilenko A.M.
• Języki publikacji: EN

Abstrakty

EN

The structure properties of multidimensional Delsarte-Darboux transmutation operators in parametric functional spaces are 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.

Słowa kluczowe

EN

Delsarte transmutation operators; parametric functional spaces; Darboux transformations; inverse spectral transform problem; soliton equations; Zakharov-Shabat equations

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2006
• Tom: Vol. 26, no. 1
• Strony: 137--150
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Prykarpatsky Y.A.

autor

Samoilenko A.M.

• AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Kraków, Poland,

Bibliografia

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