Differential-difference dynamical systems associated with the Dirac difference operator and their total integrability (Q1063798)
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scientific article; zbMATH DE number 3916876
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differential-difference dynamical systems associated with the Dirac difference operator and their total integrability |
scientific article; zbMATH DE number 3916876 |
Statements
Differential-difference dynamical systems associated with the Dirac difference operator and their total integrability (English)
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1985
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A hierarchy of completely integrable differential-difference systems associated with a rational operator bundle of Dirac type is studied. Exact solutions of finite-zone type and nonlinear trace formulae are also given. The Hamiltonian formalism for the systems in question is developed.
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Akhiezer function
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inverse spectral problem
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Poisson brackets
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Theta-functions
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Riemannian surface
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completely integrability
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rational operator bundle of Dirac type
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Exact solutions
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finite-zone type
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nonlinear trace formulae
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Hamiltonian formalism
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