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- W1987089341 abstract "We consider a classical problem of Computer Algebra: symbolic solution of PDEs. We transform the famous Darboux theorems on differential transformations of hyperbolic operator into the space of invariants. We introduce a new idea -- $X$- and $Y$-invariants of such operator as solutions of some equations written in terms of the Laplace invariants of this operator. Explicit formula for the changes in the sets of the $X$- and $Y$-invariants under the Darboux transformations are obtained." @default.
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- W1987089341 date "2011-07-01" @default.
- W1987089341 modified "2023-10-18" @default.
- W1987089341 title "X- and Y-invariants of partial differential operators in the plane" @default.
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- W1987089341 doi "https://doi.org/10.1134/s0361768811020095" @default.
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