Some aspects of a gradient holonomic algorithm in the theory of integrability of nonlinear dynamical systems and computer algebra problems (Q810965)
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scientific article; zbMATH DE number 4214986
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some aspects of a gradient holonomic algorithm in the theory of integrability of nonlinear dynamical systems and computer algebra problems |
scientific article; zbMATH DE number 4214986 |
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Some aspects of a gradient holonomic algorithm in the theory of integrability of nonlinear dynamical systems and computer algebra problems (English)
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1991
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The article discusses certain aspects of the gradient holonomic algorithm of the derivation of integrability criteria for nonlinear evolution equations. (This algorithm has been fully described in: ``Integrable dynamical systems'' by \textit{Yu. A. Mitropol'skij}, \textit{N. N. Bogolyubov (jun.)}, \textit{A. K. Prikarpatskij} and \textit{V. G. Samojlenko} (1987; Zbl 0623.35007)). The gradient-holonomic method is used to obtain recursion operators with an explicit dependence on t and x for the Korteweg-de Vries and the cylindrical Korteweg-de Vries equation.
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Hamiltonian dynamical systems
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integrable systems
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Lax pair
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recursion operator
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conservation laws
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