Differential geometry of strongly integrable systems of hydrodynamic type

B. A. Dubrovin

doi:10.1007/bf01077332

Differential geometry of strongly integrable systems of hydrodynamic type

Functional Analysis and Its Applications ◽

10.1007/bf01077332 ◽

1991 ◽

Vol 24 (4) ◽

pp. 280-285 ◽

Cited By ~ 18

Author(s):

B. A. Dubrovin

Keyword(s):

Differential Geometry ◽

Integrable Systems ◽

Hydrodynamic Type ◽

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 ◽

Cited By ~ 2

Author(s):

Z. V. Makridin

Keyword(s):

Conservation Laws ◽

Integrable Systems ◽

Hydrodynamic Type ◽

Effective Algorithm ◽

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 ◽

Cited By ~ 8

Author(s):

S. P. Tsarev

Keyword(s):

Differential Geometry ◽

Hydrodynamic Type ◽

Classical Differential Geometry ◽

Systems Of Hydrodynamic Type

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DEFORMATIONS OF PLANE ALGEBRAIC CURVES AND INTEGRABLE SYSTEMS OF HYDRODYNAMIC TYPE

Nonlinear Physics ◽

10.1142/9789812704467_0033 ◽

2003 ◽

Author(s):

YUJI KODAMA ◽

BORIS G. KONOPELCHENKO

Keyword(s):

Integrable Systems ◽

Algebraic Curves ◽

Hydrodynamic Type ◽

Systems Of Hydrodynamic Type

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The characterization of two-component (2+1)-dimensional integrable systems of hydrodynamic type

Journal of Physics A General Physics ◽

10.1088/0305-4470/37/8/007 ◽

2004 ◽

Vol 37 (8) ◽

pp. 2949-2963 ◽

Cited By ~ 41

Author(s):

E V Ferapontov ◽

K R Khusnutdinova

Keyword(s):

Integrable Systems ◽

Hydrodynamic Type ◽

Two Component ◽

Systems Of Hydrodynamic Type

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Description of the $n$ -orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type, I: Integration of the Lamé equations

Duke Mathematical Journal ◽

10.1215/s0012-7094-98-09406-6 ◽

1998 ◽

Vol 94 (1) ◽

pp. 103-139 ◽

Cited By ~ 63

Author(s):

Vladimir E. Zakharov

Keyword(s):

Integrable Systems ◽

Hydrodynamic Type ◽

Type I ◽

Coordinate Systems ◽

Lamé Equations ◽

Curvilinear Coordinate ◽

Systems Of Hydrodynamic Type ◽

Lame Equations

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Separable Hamiltonians and integrable systems of hydrodynamic type

Journal of Geometry and Physics ◽

10.1016/s0393-0440(96)00013-7 ◽

1997 ◽

Vol 21 (2) ◽

pp. 169-182 ◽

Cited By ~ 25

Author(s):

E.V. Ferapontov ◽

A.P. Fordy

Keyword(s):

Integrable Systems ◽

Hydrodynamic Type ◽

Systems Of Hydrodynamic Type

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Noncommutative Integrable Systems of Hydrodynamic Type

Acta Applicandae Mathematicae ◽

10.1007/s10440-006-9054-1 ◽

2006 ◽

Vol 92 (3) ◽

pp. 269-292 ◽

Cited By ~ 4

Author(s):

Boris A. Kupershmidt

Keyword(s):

Integrable Systems ◽

Hydrodynamic Type ◽

Noncommutative Integrable Systems ◽

Systems Of Hydrodynamic Type

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Lie groups, differential geometry, and nonlinear integrable systems

Nonassociative algebra and its applications ◽

10.1201/9780429187674-29 ◽

2019 ◽

pp. 321-336

Author(s):

A. V. Razumov ◽

M. V. Saveliev

Keyword(s):

Differential Geometry ◽

Lie Groups ◽

Integrable Systems

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INTEGRABLE SYSTEMS IN PROJECTIVE DIFFERENTIAL GEOMETRY

Kyushu Journal of Mathematics ◽

10.2206/kyushujm.54.183 ◽

2000 ◽

Vol 54 (1) ◽

pp. 183-215 ◽

Cited By ~ 13

Author(s):

E. V. FERAPONTOV

Keyword(s):

Differential Geometry ◽

Integrable Systems ◽

Projective Differential Geometry

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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 ◽

Cited By ~ 2

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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