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Integrable couplings of the hierarchies of evolution equations. - MaRDI portal

Integrable couplings of the hierarchies of evolution equations. (Q1419241)

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scientific article; zbMATH DE number 2027095
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Integrable couplings of the hierarchies of evolution equations.
scientific article; zbMATH DE number 2027095

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    Integrable couplings of the hierarchies of evolution equations. (English)
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    14 January 2004
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    The new loop algebra was constructed in terms of the loop algebra \(\overline A_1\). As a result the authors' obtained integrable couplings of the KN hierarchy, GJ hierarchy; WKI hierarchy, etc. Therefore the method proposed in this paper has wide uses for seeing integrable couplings.
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    integrable coupling
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    Levi hierarchy, Lax pair
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    KdV hierarchy
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    AKNS hierarchy
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