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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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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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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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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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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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 ◽

Author(s):

E V Ferapontov ◽

K R Khusnutdinova

Keyword(s):

Integrable Systems ◽

Hydrodynamic Type ◽

Two Component ◽

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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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 ◽

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 ◽

Author(s):

Boris A. Kupershmidt

Keyword(s):

Integrable Systems ◽

Hydrodynamic Type ◽

Noncommutative Integrable Systems ◽

Systems Of Hydrodynamic Type

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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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