The classification of multidimensional Poisson brackets of hydrodynamic type

Russian Mathematical Surveys ◽

10.1070/rm2006v061n02abeh004319 ◽

2006 ◽

Vol 61 (2) ◽

pp. 356-358 ◽

Author(s):

O I Mokhov

Keyword(s):

Hydrodynamic Type ◽

Poisson Brackets

Download Full-text

Theory and classification of the reversible structures of discontinuities in hydrodynamic-type models

Journal of Applied Mathematics and Mechanics ◽

10.1016/j.jappmathmech.2015.04.007 ◽

2014 ◽

Vol 78 (6) ◽

pp. 599-612 ◽

Author(s):

I.B. Bakholdin

Keyword(s):

Hydrodynamic Type

Download Full-text

A twisted generalization of linear Poisson brackets of hydrodynamic type

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/43/36/365205 ◽

2010 ◽

Vol 43 (36) ◽

pp. 365205 ◽

Author(s):

Dongping Hou ◽

Chengming Bai

Keyword(s):

Hydrodynamic Type ◽

Poisson Brackets

Download Full-text

Form-invariant Poisson brackets of hydrodynamic type with several spatial variables

Journal of Mathematical Physics ◽

10.1063/1.2924215 ◽

2008 ◽

Vol 49 (5) ◽

pp. 053520 ◽

Author(s):

O. Bogoyavlenskij ◽

P. Reynolds

Keyword(s):

Hydrodynamic Type ◽

Poisson Brackets ◽

Spatial Variables

Download Full-text

Invariant foliations for the Poisson brackets of hydrodynamic type

Physics Letters A ◽

10.1016/j.physleta.2006.08.061 ◽

2007 ◽

Vol 360 (4-5) ◽

pp. 539-544 ◽

Author(s):

Oleg I. Bogoyavlenskij

Keyword(s):

Hydrodynamic Type ◽

Poisson Brackets

Download Full-text

On the central extensions of Poisson brackets of hydrodynamic type

Journal of Physics A General Physics ◽

10.1088/0305-4470/36/9/305 ◽

2003 ◽

Vol 36 (9) ◽

pp. 2261-2269

Author(s):

Chengming Bai ◽

Daoji Meng ◽

Hongbiao Zhang

Keyword(s):

Hydrodynamic Type ◽

Poisson Brackets ◽

Central Extensions

Download Full-text

Lax Pairs for Equations Describing Compatible Nonlocal Poisson Brackets of Hydrodynamic Type and Integrable Reductions of the Lamé Equations

Theoretical and Mathematical Physics ◽

10.1023/b:tamp.0000015071.25148.90 ◽

2004 ◽

Vol 138 (2) ◽

pp. 238-249 ◽

Author(s):

O. I. Mokhov

Keyword(s):

Hydrodynamic Type ◽

Poisson Brackets ◽

Lax Pairs ◽

Lamé Equations ◽

Download Full-text

On classification of discrete, scalar-valued Poisson brackets

Journal of Geometry and Physics ◽

10.1016/j.geomphys.2012.05.004 ◽

2012 ◽

Vol 62 (10) ◽

pp. 2059-2076

Author(s):

E. Parodi

Keyword(s):

Poisson Brackets

Download Full-text

Tensor Invariants of the Poisson Brackets of Hydrodynamic Type

Communications in Mathematical Physics ◽

10.1007/s00220-007-0370-8 ◽

2007 ◽

Vol 277 (2) ◽

pp. 369-384 ◽

Author(s):

Oleg I. Bogoyavlenskij

Keyword(s):

Hydrodynamic Type ◽

Poisson Brackets ◽

Tensor Invariants

Download Full-text

COMPATIBLE NONLOCAL POISSON BRACKETS OF HYDRODYNAMIC TYPE AND INTEGRABLE REDUCTIONS OF THE LAMÉ EQUATIONS

Nonlinear Physics ◽

10.1142/9789812704467_0028 ◽

2003 ◽

Author(s):

O. I. MOKHOV

Keyword(s):

Hydrodynamic Type ◽

Poisson Brackets ◽

Lamé Equations ◽

Download Full-text

SECOND-ORDER DEFORMATIONS OF HYDRODYNAMIC-TYPE POISSON BRACKETS

Glasgow Mathematical Journal ◽

10.1017/s0017089508004795 ◽

2009 ◽

Vol 51 (A) ◽

pp. 75-82

Author(s):

JAMES T. FERGUSON

Keyword(s):

Differential Operator ◽

Poisson Bracket ◽

Hamiltonian Structure ◽

Second Order ◽

Hydrodynamic Type ◽

Poisson Brackets ◽

AbstractThis paper is concerned with the properties of differential-geometric-type Poisson brackets specified by a differential operator of degree 2. It also considers the conditions required for such a Poisson bracket to form a bi-Hamiltonian structure with a hydrodynamic-type Poisson bracket.

Download Full-text