5,239 research outputs found
The maximal 'kinematical' invariance group for an arbitrary potential revised
Group classification of one particle Schr\"odinger equations with arbitrary
potentials (C. P. Boyer, Helv. Phys. Acta {\bf 47}, p. 450, 1974) is revised.
The corrected completed list of non-equivalent potentials and the corresponding
symmetries is presented together with exact identification of symmetry algebras
and admissible equivalence transformations.Comment: Misprints are correcte
Group classification of systems of non-linear reaction-diffusion equations with general diffusion matrix. I. Generalized Landau-Ginzburg equations
Group classification of the generalized complex Ginzburg-Landau equations is
presented. An approach to group classification of systems of reaction-diffusion
equations with general diffusion matrix is developed.Comment: The list of additional equivalence transformations is complete
Group classification of systems of non-linear reaction-diffusion equations with general diffusion matrix. II. Generalized Turing systems
Group classification of systems of two coupled nonlinear reaction-diffusion
equation with a diagonal diffusion matrix is carried out. Symmetries of
diffusion systems with singular diffusion matrix and additional first order
derivative terms are described.Comment: The equivalence transformations are indicated in more clear form,
misprints are correcte
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