HAMILTONIAN FORMALISM OF ONE-DIMENSIONAL SYSTEMS OF HYDRODYNAMIC TYPE, AND THE BOGOLYUBOV-WHITMAN AVERAGING METHOD

30 Years of the Landau Institute — Selected Papers - World Scientific Series in 20th Century Physics ◽

10.1142/9789814317344_0051 ◽

1996 ◽

pp. 382-386

Author(s):

B. A. DUBROVIN ◽

S. P. NOVIKOV

Keyword(s):

Averaging Method ◽

Hamiltonian Formalism ◽

Hydrodynamic Type ◽

One Dimensional ◽

Systems Of Hydrodynamic Type

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On one-dimensional Hamiltonian systems of hydrodynamic type with explicit dependence on the spatial variable

Russian Mathematical Surveys ◽

10.1070/rm1987v042n03abeh001433 ◽

1987 ◽

Vol 42 (3) ◽

pp. 229-230 ◽

Author(s):

M B Polyak

Keyword(s):

Hamiltonian Systems ◽

Spatial Variable ◽

Hydrodynamic Type ◽

Explicit Dependence ◽

One Dimensional ◽

Systems Of Hydrodynamic Type

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Hamiltonian formalism of multidimensional systems of hydrodynamic type having non-degenerate Lagrangian structure

Russian Mathematical Surveys ◽

10.1070/rm1995v050n03abeh002573 ◽

1995 ◽

Vol 50 (3) ◽

pp. 633-634

Author(s):

M V Pavlov

Keyword(s):

Hamiltonian Formalism ◽

Multidimensional Systems ◽

Hydrodynamic Type ◽

Degenerate Lagrangian ◽

Systems Of Hydrodynamic Type

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Purely nonlocal Hamiltonian formalism for systems of hydrodynamic type

Journal of Geometry and Physics ◽

10.1016/j.geomphys.2010.03.010 ◽

2010 ◽

Vol 60 (9) ◽

pp. 1112-1126 ◽

Author(s):

John Gibbons ◽

Paolo Lorenzoni ◽

Andrea Raimondo

Keyword(s):

Hamiltonian Formalism ◽

Hydrodynamic Type ◽

Systems Of Hydrodynamic Type

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On the Liouville Poisson brackets and one-dimensional Hamiltonian systems of hydrodynamic type arising in the Bogolyubov-Whitham averaging theory

Russian Mathematical Surveys ◽

10.1070/rm1984v039n06abeh003195 ◽

1984 ◽

Vol 39 (6) ◽

pp. 227-228

Author(s):

S P Tsarëv

Keyword(s):

Hamiltonian Systems ◽

Averaging Theory ◽

Hydrodynamic Type ◽

Poisson Brackets ◽

One Dimensional ◽

Systems Of Hydrodynamic Type

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An Effective Algorithm for Finding Multidimensional Conservation Laws for Integrable Systems of Hydrodynamic Type

Theoretical and Mathematical Physics ◽

10.1134/s0040577918020071 ◽

2018 ◽

Vol 194 (2) ◽

pp. 274-283 ◽

Author(s):

Z. V. Makridin

Keyword(s):

Conservation Laws ◽

Integrable Systems ◽

Hydrodynamic Type ◽

Effective Algorithm ◽

Systems Of Hydrodynamic Type

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Systems of Hydrodynamic Type that Approximate Two-Dimensional Ideal Fluid Equations

Izvestiya Atmospheric and Oceanic Physics ◽

10.1134/s0001433818030040 ◽

2018 ◽

Vol 54 (3) ◽

pp. 232-241 ◽

Author(s):

V. P. Dymnikov ◽

P. A. Perezhogin

Keyword(s):

Ideal Fluid ◽

Hydrodynamic Type ◽

Two Dimensional ◽

Fluid Equations ◽

Systems Of Hydrodynamic Type

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Breaking Solitons. Systems of Hydrodynamic Type

Springer Series in Nonlinear Dynamics - Nonlinear Processes in Physics ◽

10.1007/978-3-642-77769-1_12 ◽

1993 ◽

pp. 67-76 ◽

Author(s):

O. I. Bogoyavlenskij

Keyword(s):

Hydrodynamic Type ◽

Systems Of Hydrodynamic Type

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Classical Differential Geometry and Integrability of Systems of Hydrodynamic Type

Applications of Analytic and Geometric Methods to Nonlinear Differential Equations ◽

10.1007/978-94-011-2082-1_23 ◽

1993 ◽

pp. 241-249 ◽

Author(s):

S. P. Tsarev

Keyword(s):

Differential Geometry ◽

Hydrodynamic Type ◽

Classical Differential Geometry ◽

Systems Of Hydrodynamic Type

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Mode interaction in two-stream systems of hydrodynamic type

Soviet Physics Journal ◽

10.1007/bf00895284 ◽

1990 ◽

Vol 33 (12) ◽

pp. 1044-1047

Author(s):

V. M. Vorob'ev

Keyword(s):

Hydrodynamic Type ◽

Mode Interaction ◽

Systems Of Hydrodynamic Type ◽

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Isoparametric hypersurfaces in spheres, integrable nondiagonalizable systems of hydrodynamic type, and N-wave systems

Differential Geometry and its Applications ◽

10.1016/0926-2245(95)00022-4 ◽

1995 ◽

Vol 5 (4) ◽

pp. 335-369 ◽

Author(s):

E.V. Ferapontov

Keyword(s):

Hydrodynamic Type ◽

Isoparametric Hypersurfaces ◽

N Wave ◽

Hypersurfaces In Spheres ◽

Systems Of Hydrodynamic Type

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