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 ◽

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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 ◽

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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 ◽

Author(s):

Vladimir E. Zakharov

Keyword(s):

Integrable Systems ◽

Hydrodynamic Type ◽

Type I ◽

Coordinate Systems ◽

Lamé Equations ◽

Curvilinear Coordinate ◽

Systems Of Hydrodynamic Type ◽

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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

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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

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Combinatorial approach to Mathieu and Lamé equations

Journal of Mathematical Physics ◽

10.1063/1.4926954 ◽

2015 ◽

Vol 56 (7) ◽

pp. 072302 ◽

Author(s):

Wei He

Keyword(s):

Combinatorial Approach ◽

Lamé Equations ◽

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Group foliation of the Lamé equations of the classical dynamical theory of elasticity

Mechanics of Solids ◽

10.3103/s0025654409030066 ◽

2009 ◽

Vol 44 (3) ◽

pp. 372-379 ◽

Author(s):

Yu. A. Chirkunov

Keyword(s):

Dynamical Theory ◽

Theory Of Elasticity ◽

Lamé Equations ◽

Group Foliation ◽

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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

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Diagonalization of the system of static Lamé equations of isotropic linear elasticity

Journal of Applied and Industrial Mathematics ◽

10.1134/s1990478913010092 ◽

2013 ◽

Vol 7 (1) ◽

pp. 89-99

Author(s):

N. I. Ostrosablin

Keyword(s):

Linear Elasticity ◽

Lamé Equations ◽

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Partial Fourier approximation of the Lamé equations in axisymmetric domains

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(199908)22:12<1017::aid-mma68>3.0.co;2-b ◽

1999 ◽

Vol 22 (12) ◽

pp. 1017-1041 ◽

Author(s):

Boniface Nkemzi ◽

Bernd Heinrich

Keyword(s):

Fourier Approximation ◽

Lamé Equations ◽

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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

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