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Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model
تقارن عمومی ، قوانین حفاظت و ساختارهای همیلتون از مدل شار بدون رانش ایزوترمال-2020 We study the hydrodynamic-type system of differential equations modeling isothermal no-slip
drift flux. Using the facts that the system is partially coupled and its subsystem reduces to the
(1+1)-dimensional Klein–Gordon equation, we exhaustively describe generalized symmetries, cosymmetries
and local conservation laws of this system. A generating set of local conservation laws under
the action of generalized symmetries is proved to consist of two zeroth-order conservation laws.
The subspace of translation-invariant conservation laws is singled out from the entire space of local
conservation laws. We also find broad families of local recursion operators and a nonlocal recursion
operator, and construct an infinite family of Hamiltonian structures involving an arbitrary function of a
single argument. For each of the constructed Hamiltonian operators, we obtain the associated algebra
of Hamiltonian symmetries. Keywords: Generalized symmetry | Local conservation law | Recursion operator | Hamiltonian structure | Hydrodynamic-type system | Isothermal no-slip drift flux |
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