- Tytuł:
- Combined algorithm for finding conservation laws and implectic operators for the Boussinesq-Burgers nonlinear dynamical system and its finite dimensional reductions
- Autorzy:
-
Kindybaliuk, A.
Prytula, M. - Powiązania:
- https://bibliotekanauki.pl/articles/122896.pdf
- Data publikacji:
- 2014
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
nonlinear dynamical system
conservation laws
implectic operators
method of undetermined coefficients
differential algebraic algorithm
combined algorithm
finite dimensional reduction
Hamiltonian system
exact solutions
Boussinesq-Burgers equation
nieliniowy układ dynamiczny
prawa zachowania
algebraiczny algorytm różniczkowy
system Hamiltona
rozwiązania dokładne
równanie Boussinesqa-Burgersa - Opis:
- In the article the combined algorithm for finding conservation laws and implectic operators has been proposed. Using the Novikov-Bogoyavlensky method the finite dimensional reductions have been found. The structure of invariant submanifolds has been examined. Having analyzed phase portraits of Hamiltonian systems, partial periodical solutions have been found.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 3; 85-99
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł