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- W2003669924 abstract "The symmetry algebra of the planar nonlinear Schrödinger equation minimally coupled to Chern-Simons gauge fields is systematically determined. It is confirmed to be the semidirect sum of the eight dimensional Schrödinger algebra sch(2) (with no central extension) and of the infinitesimal gauge transformation algebra. The conditional symmetries that arise when self-duality is imposed are also discussed and found to have, as expected, a Kac-Moody-Virasoro structure. Several examples of symmetry reductions to ordinary differential equations are presented and non-self-dual solutions are obtained. The non-self-dual system is shown not to have the Painlevé property." @default.
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- W2003669924 date "1994-02-01" @default.
- W2003669924 modified "2023-09-26" @default.
- W2003669924 title "Symmetries and Conditional Symmetries of a Non-relativistic Chern-Simons System" @default.
- W2003669924 doi "https://doi.org/10.1006/aphy.1994.1018" @default.
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