Combined algorithm for finding conservation laws and implectic operators for the Boussinesq-Burgers nonlinear dynamical system and its finite dimensional reductions

Szczegóły
Abstrakt

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.
Data publikacji:: 2014
Słowa kluczowe:: 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
Język:: angielski
Dostawca treści:: BazTech
: Artykuł

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.

Informacja

Combined algorithm for finding conservation laws and implectic operators for the Boussinesq-Burgers nonlinear dynamical system and its finite dimensional reductions