New set of symmetries of the integrable equations, Lie algebra and non- isospectral evolution equations. V (Q915013)

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scientific article; zbMATH DE number 4150955
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New set of symmetries of the integrable equations, Lie algebra and non- isospectral evolution equations. V
scientific article; zbMATH DE number 4150955

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    New set of symmetries of the integrable equations, Lie algebra and non- isospectral evolution equations. V (English)
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    1989
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    [For part IV see the first author and \textit{Y. S. Li}, J. China Univ. Sci. Technol. 16, 1-7 (1986; Zbl 0625.35005)]. In parts I-IV, it has been proved that KdV, AKNS, Kaup-Newell and Levi equation families all have two sets of symmetries, and the two sets construct an infinite dimensional Lie algebra. Here, we show the same results for extended Heisenberg equation.
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    symmetries
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    integrable equations
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    Korteweg-de Vries equation
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    Heisenberg equation
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    extended Heisenberg equation
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