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- W2076553645 abstract "The treatment of Backlund transformations (BTS) in multi-dimensional spaces via gauge transformations is presented. The general two-dimensional N*N matrix Zakharov-Shabat-AKNS spectral problem and the general two-dimensional Nth-order Zakharov-Shabat-Gelfand-Dikij (ZSGD) spectral problem are considered in detail. The structure of the infinite-dimensional group of general BTS is studied. It is shown that one has N elementary BTS for the N*N matrix problem and only one elementary BT for the Nth-order ZSGD problem. The explicit formulae for soliton and elementary BTS for both spectral problems are found. Non-linear superposition formulae for elementary BTS for both problems are obtained. An infinite lattice of solutions of the integrable evolution equations related to the N*N matrix problem is constructed." @default.
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- W2076553645 date "1985-02-01" @default.
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- W2076553645 title "Backlund transformations via gauge transformations in 2+1 dimensions" @default.
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- W2076553645 doi "https://doi.org/10.1088/0266-5611/1/1/005" @default.
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