Group analysis differential equations. Super- and parasupersymmetric field models. Gaudin algebra.
Main publications:
A.V. Galkin, A.G. Nikitin, “Extended Poincare parasuperalgebra with central charges and invariant wave equations”, J. Phys. A: Math. Gen, 33 (2000), 8525–8547
A.G.Nikitin, A.V. Galkin, “Extended Poincare parasuperalgebra with central charges and Wess–Zumino–Weinberg model”, Nuclear Physics B (Proc. Suppl), 102-103 (2001), 322–327
Benedetto Militello, Alexander Galkin, Anatoly Nikitin, Antonino Messina, “Three-mode two-boson Jaynes–Cummings model in trapped ions”, J. Phys. A: Math. Theor, 40 (2007), 533–543