19 citations · 28 across the 3 of their papers we have counts for
3 papers
math-ph2005★ 9 cited
Generalized Killing Tensors and Symmetry of Klein-Gordon-Fock Equations
Anatoly G. Nikitin, Oleksander I. Prylypko
The paper studies non-Lie symmetry of the Klein-Gordon-Fock equation (KGF) in -dimensional Minkowsky space. Full set of symmetry operators for the -order KGF equation was…
math-ph2003★ 19 cited
Group classification of nonlinear Schrödinger equations
Anatoly G. Nikitin, Roman O. Popovych
The authors suggest a new powerful tool for solving group classification problems, that is applied to obtaining the complete group classification in the class of nonlinear Schrödin…
quant-ph2002
On the possible types of equations for zero-mass particles
Wilhelm I. Fushchych, Anatoly G. Nikitin
There are a number of papers dedicated to the description of free particles and antiparticles with zero mass and spin 1/2. A great many equations with different C, P, T properties…