Riemann invariants of semisimple non-locally bi-Hamiltonian systems of hydrodynamic type and compatible metrics

Russian Mathematical Surveys ◽

10.1070/rm2010v065n06abeh004721 ◽

2010 ◽

Vol 65 (6) ◽

pp. 1183-1185 ◽

Author(s):

Oleg I Mokhov

Keyword(s):

Hamiltonian Systems ◽

Hydrodynamic Type ◽

Riemann Invariants ◽

Compatible Metrics ◽

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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Several conjectures and results in the theory of integrable Hamiltonian systems of hydrodynamic type, which do not possess Riemann invariants

Theoretical and Mathematical Physics ◽

10.1007/bf01016140 ◽

1994 ◽

Vol 99 (2) ◽

pp. 567-570 ◽

Author(s):

E. V. Ferapontov

Keyword(s):

Hamiltonian Systems ◽

Hydrodynamic Type ◽

Riemann Invariants ◽

Integrable Hamiltonian Systems ◽

Systems Of Hydrodynamic Type

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On the matrix Hopf equation and integrable Hamiltonian systems of hydrodynamic type, which do not possess Riemann invariants

Physics Letters A ◽

10.1016/0375-9601(93)90096-i ◽

1993 ◽

Vol 179 (6) ◽

pp. 391-397 ◽

Author(s):

E.V. Ferapontov

Keyword(s):

Hamiltonian Systems ◽

Hydrodynamic Type ◽

Hopf Equation ◽

Riemann Invariants ◽

Integrable Hamiltonian Systems ◽

Systems Of Hydrodynamic Type

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Compatible metrics and the diagonalizability of nonlocally bi-Hamiltonian systems of hydrodynamic type

Theoretical and Mathematical Physics ◽

10.1007/s11232-011-0032-z ◽

2011 ◽

Vol 167 (1) ◽

pp. 403-420 ◽

Author(s):

O. I. Mokhov

Keyword(s):

Hamiltonian Systems ◽

Hydrodynamic Type ◽

Compatible Metrics ◽

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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Integrable bi-Hamiltonian systems of hydrodynamic type

Russian Mathematical Surveys ◽

10.1070/rm2002v057n01abeh000483 ◽

2002 ◽

Vol 57 (1) ◽

pp. 153-154 ◽

Author(s):

O I Mokhov

Keyword(s):

Hamiltonian Systems ◽

Hydrodynamic Type ◽

Systems Of Hydrodynamic Type

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Dispersive deformations of Hamiltonian systems of hydrodynamic type in 2+1 dimensions

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2011.12.004 ◽

2012 ◽

Vol 241 (23-24) ◽

pp. 2138-2144 ◽

Author(s):

E.V. Ferapontov ◽

V.S. Novikov ◽

N.M. Stoilov

Keyword(s):

Hamiltonian Systems ◽

Hydrodynamic Type ◽

Systems Of Hydrodynamic Type

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Hamiltonian systems of hydrodynamic type and their realization on hypersurfaces of a pseudo-Euclidean space

Journal of Soviet Mathematics ◽

10.1007/bf01095672 ◽

1991 ◽

Vol 55 (5) ◽

pp. 1970-1995 ◽

Author(s):

E. V. Ferapontov

Keyword(s):

Euclidean Space ◽

Hamiltonian Systems ◽

Hydrodynamic Type ◽

Systems Of Hydrodynamic Type

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Schouten tensor and bi-Hamiltonian systems of hydrodynamic type

Journal of Mathematical Physics ◽

10.1063/1.2167920 ◽

2006 ◽

Vol 47 (2) ◽

pp. 023504 ◽

Author(s):

Oleg I. Bogoyavlenskij

Keyword(s):

Hamiltonian Systems ◽

Hydrodynamic Type ◽

Schouten Tensor ◽

Systems Of Hydrodynamic Type

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First integrals of affine connections and Hamiltonian systems of hydrodynamic type

Journal of Integrable Systems ◽

10.1093/integr/xyw009 ◽

2015 ◽

Vol 1 (1) ◽

pp. xyw009

Author(s):

Felipe Contatto ◽

Dunajski Maciej

Keyword(s):

Hamiltonian Systems ◽

First Integrals ◽

Hydrodynamic Type ◽

Affine Connections ◽

Systems Of Hydrodynamic Type

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