- Tytuł:
- Integrable three-dimensional coupled nonlinear dynamical systems related with centrally extended operator Lie algebras
- Autorzy:
-
Hentosh, O. Ye.
Prykarpatsky, A. K. - Powiązania:
- https://bibliotekanauki.pl/articles/255480.pdf
- Data publikacji:
- 2007
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
centrally extended operator Lie algebra
Lax-type flows
Backlund transformation
"ghost" symmetries - Opis:
- A hierarchy of Lax-type flows on a dual space to the centrally extended Lie algebra of integral-differential operators with matrix-valued coefficients is considered. By means of a specially constructed Backlund transforniation the Hamiltonian representations for these flows coupled with suitable eigenfunctions and adjoint eigenfunctions evolutions of associated spectral problems are obtained. The Hamiltonian description of the corresponding set of additional symmetry hierarchies is represented. The relation of these hierarchies with Lax integrable (3+1)-dimensional nonlinear dynamical systems and their triple Lax-type linearizations is analysed.
- Źródło:
-
Opuscula Mathematica; 2007, 27, 2; 231-244
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł