Integrability and conservation laws for two systems of hydrodynamic type derived from the Toda and Volterra systems

Differential Geometry and its Applications ◽

10.1016/j.difgeo.2012.06.002 ◽

2012 ◽

Vol 30 (5) ◽

pp. 371-381

Author(s):

Patrick Reynolds

Keyword(s):

Conservation Laws ◽

Hydrodynamic Type ◽

Volterra Systems ◽

Two Systems ◽

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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On first-order conservation laws for systems of hydrodynamic-type equations

Theoretical and Mathematical Physics ◽

10.1007/bf02070520 ◽

1996 ◽

Vol 108 (1) ◽

pp. 937-952 ◽

Author(s):

E. V. Ferapontov ◽

R. A. Sharipov

Keyword(s):

Conservation Laws ◽

Hydrodynamic Type ◽

First Order ◽

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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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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Integrability of the Egorov systems of hydrodynamic type

Theoretical and Mathematical Physics ◽

10.1007/s11232-007-0017-0 ◽

2007 ◽

Vol 150 (2) ◽

pp. 225-243 ◽

Author(s):

M. V. Pavlov

Keyword(s):

Hydrodynamic Type ◽

Systems Of Hydrodynamic Type

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Dupin hypersurfaces and integrable hamiltonian systems of hydrodynamic type, which do not possess Riemann invariants

Differential Geometry and its Applications ◽

10.1016/0926-2245(95)00011-r ◽

1995 ◽

Vol 5 (2) ◽

pp. 121-152 ◽

Author(s):

E.V. Ferapontov

Keyword(s):

Hamiltonian Systems ◽

Hydrodynamic Type ◽

Riemann Invariants ◽

Integrable Hamiltonian Systems ◽

Dupin Hypersurfaces ◽

Systems Of Hydrodynamic Type

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