Integrable Hydrodynamic Systems Research Articles

Rational Factorization of Hamiltonian Flows in the Space Dual to the Lie Algebra of Fractional Integrodifferential Operators and Benney-Type Integrable Hydrodynamic Systems

Rational Factorization of Hamiltonian Flows in the Space Dual to the Lie Algebra of Fractional Integrodifferential Operators and Benney-Type Integrable Hydrodynamic Systems

Separable Hamiltonian equations on Riemann manifolds and related integrable hydrodynamic systems

A systematic construction of Stäckel systems in separated coordinates and its relation to bi-Hamiltonian formalism are considered. A general form of related hydrodynamic systems, integrable by the Hamilton–Jacobi method, is derived. One-Casimir bi-Hamiltonian case is studied in details and in this case, a systematic construction of related hydrodynamic systems in arbitrary coordinates is presented, using the cofactor method and soliton symmetry constraints.