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- W2014398944 abstract "Conditional and Lie symmetries of semi-linear 1D Schrodinger and diffusion equations are studied if the mass (or the diffusion constant) is considered as an additional variable. In this way, dynamical symmetries of semi-linear Schrodinger equations become related to the parabolic and almost-parabolic subalgebras of a three-dimensional conformal Lie algebra conf_3. We consider non-hermitian representations and also include a dimensionful coupling constant of the non-linearity. The corresponding representations of the parabolic and almost-parabolic subalgebras of conf_3 are classified and the complete list of conditionally invariant semi-linear Schrodinger equations is obtained. Possible applications to the dynamical scaling behaviour of phase-ordering kinetics are discussed." @default.
- W2014398944 created "2016-06-24" @default.
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- W2014398944 date "2005-09-01" @default.
- W2014398944 modified "2023-09-25" @default.
- W2014398944 title "Dynamical symmetries of semi-linear Schrödinger and diffusion equations" @default.
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- W2014398944 doi "https://doi.org/10.1016/j.nuclphysb.2005.06.017" @default.
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