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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Differential geometry of strongly integrable systems of hydrodynamic type

Functional Analysis and Its Applications ◽

10.1007/bf01077332 ◽

1991 ◽

Vol 24 (4) ◽

pp. 280-285 ◽

Author(s):

B. A. Dubrovin

Keyword(s):

Differential Geometry ◽

Integrable Systems ◽

Hydrodynamic Type ◽

Systems Of Hydrodynamic Type

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An encounter of classical differential geometry with dynamical systems in the realm of structural stability of principal curvature configurations

São Paulo Journal of Mathematical Sciences ◽

10.1007/s40863-021-00231-6 ◽

2021 ◽

Author(s):

Jorge Sotomayor

Keyword(s):

Differential Geometry ◽

Dynamical Systems ◽

Structural Stability ◽

Principal Curvature ◽

Classical Differential Geometry

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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 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

Graduate Studies in Mathematics - Discrete Differential Geometry ◽

10.1090/gsm/098/01 ◽

2008 ◽

pp. 1-30 ◽

Author(s):

Alexander Bobenko ◽

Yuri Suris

Keyword(s):

Differential Geometry ◽

Classical Differential Geometry

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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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C-integrability of the Belavin-Polyakov equation using classical differential geometry

Physics Letters A ◽

10.1016/0375-9601(95)00498-r ◽

1995 ◽

Vol 204 (3-4) ◽

pp. 243-246 ◽

Author(s):

Radha Balakrishnan

Keyword(s):

Differential Geometry ◽

Classical Differential Geometry

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