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- W2289570050 abstract "The cubic non-linear Schrodinger equation where the coefficient of the nonlinear term is a function $F(t,x)$ only passes the Painleve test of Weiss, Tabor, and Carnevale only for $F=(a+bt)^{-1}$, where $a$ and $b$ are constants. This is explained by transforming the time-dependent system into the constant-coefficient NLS by means of a time-dependent non-linear transformation, related to the conformal properties of non-relativistic space-time. A similar argument explains the integrability of the NLS in a uniform force field or in an oscillator background." @default.
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- W2289570050 date "1999-02-27" @default.
- W2289570050 modified "2023-09-27" @default.
- W2289570050 title "The variable-coefficient non-linear Schrodinger equation and the conformal properties of non-relativistic space-time" @default.
- W2289570050 hasPublicationYear "1999" @default.
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