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- W1991066737 abstract "The development of symbolic methods for the factorization and integration of linear PDEs, many of the methods being generalizations of the Laplace transformations method, requires the finding of complete generating sets of invariants for the corresponding linear operators and their systems with respect to the gauge transformations L -> g(x,y)-1 O L O g(x,y). Within the theory of Laplace-like methods, there is no uniform approach to this problem, though some individual invariants for hyperbolic bivariate operators, and complete generating sets of invariants for second- and third-order hyperbolic bivariate ones have been obtained. Here we demonstrate a systematic and much more efficient approach to the same problem by application of moving-frame methods. We give explicit formulae for complete generating sets of invariants for second- and third-order bivariate linear operators, hyperbolic and non-hyperbolic, and also demonstrate the approach for pairs of operators appearing in Darboux transformations." @default.
- W1991066737 created "2016-06-24" @default.
- W1991066737 creator A5047403981 @default.
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- W1991066737 date "2008-07-20" @default.
- W1991066737 modified "2023-10-18" @default.
- W1991066737 title "Moving frames for laplace invariants" @default.
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- W1991066737 doi "https://doi.org/10.1145/1390768.1390809" @default.
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