Symmetry of equations of linear and nonlinear quantum mechanics
We describe local and nonlocal symmetries of linear and nonlinear wave equations and present a classification of nonlinear multidimensional equations compatible with the Galilean principle of relativity. We propose new systems of nonlinear equations for the description of physical phenomena in classical and quantum mechanics.
English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 1, pp 181-196.
Citation Example: Fushchich V. I. Symmetry of equations of linear and nonlinear quantum mechanics // Ukr. Mat. Zh. - 1997. - 49, № 1. - pp. 164–176.