- Tytuł:
- The Delsarte-Darboux type binary transformations, their differential-geometric and operator structure with applications. Part. 1
- Autorzy:
-
Prykarpatsky, Y.A.
Samoilenko, A.M. - Powiązania:
- https://bibliotekanauki.pl/articles/254961.pdf
- Data publikacji:
- 2006
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Delsarte transmutation operators
parametric functional spaces
Darboux transformations
inverse spectral transform problem
soliton equations
Zakharov-Shabat equations - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2006, 26, 1; 137-150
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł