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Three Graded Modified Classical Yang-Baxter Equations and Integrable Systems - MaRDI portal

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Three Graded Modified Classical Yang-Baxter Equations and Integrable Systems

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Publication:6511239

arXivsolv-int/9708003MaRDI QIDQ6511239

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Abstract: The 6=3imes2 huge Lie algebra Xi of all local and non local differential operators on a circle is applied to the standard Adler-Kostant-Symes (AKS) R-bracket sckeme. It is shown in particular that there exist three additional Lie structures, associated to three graded modified classical Yang-Baxter(GMCYB) equations. As we know from the standard case, these structures can be used to classify in a more consitent way a wide class of integrable systems. Other algebraic properties are also presented.












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