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- W2089113846 abstract "The generation of integrable (differential) difference equations via a suitable reinterpretation of Bäcklund transformations and associated permutability theorems has become a standard technique in soliton theory. Here, it is shown that a permutability theorem for the classical Tzitzeica equation leads, in the natural continuum limit, to a novel fully symmetric form of the equation governing self-dual Einstein spaces in four dimensions. As a by-product of this construction, the associated linear representation is found which turns out to be the Lax pair for the self-dual Yang-Mills equations with four translational symmetries and the gauge group of volume preserving diffeomorphisms." @default.
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- W2089113846 date "1996-11-01" @default.
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- W2089113846 title "Self-dual Einstein spaces via a permutability theorem for the Tzitzeica equation" @default.
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- W2089113846 doi "https://doi.org/10.1016/s0375-9601(96)00703-7" @default.
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