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- W2060915908 abstract "A variable-coefficient nonlinear Schrodinger (VCNLS) equation, involving three arbitrary complex functions of space-time (in 1 + 1 dimensions) is analysed from the point of view of its symmetries. All equations of the type studied having non-trivial Lie point symmetry groups G are identified. The symmetry group is shown to be at most five-dimensional and only when the equation is equivalent to the NLS equation itself or to a rather special complex Ginzburg-Landau equation. Lie point transformations are used to obtain solutions of specific VCNLS equations that should be of interest in nonlinear optics or other branches of physics." @default.
- W2060915908 created "2016-06-24" @default.
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- W2060915908 date "1993-12-07" @default.
- W2060915908 modified "2023-10-18" @default.
- W2060915908 title "Symmetry classes of variable coefficient nonlinear Schrodinger equations" @default.
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- W2060915908 doi "https://doi.org/10.1088/0305-4470/26/23/043" @default.
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