8 citations · 11 across the 3 of their papers we have counts for
5 papers
Group classification of nonlinear wave equations
V. I. Lagno, R. Z. Zhdanov, O. Magda
We perform complete group classification of the general class of quasi linear wave equations in two variables. This class may be seen as a broad generalization of the nonlinear d'A…
Symmetry and Exact Solutions of the Maxwell and SU(2) Yang-Mills Equations
R. Z. Zhdanov, V. I. Lagno
We give the overview of solution techniques for the general conformally-invariant linear and nonlinear wave equations centered around the idea of dimensional reductions by their sy…
Nonlinear Dirac equations and nonlinear gauge transformations
H. -D. Doebner, R. Zhdanov
Nonlinear Dirac equations (NLDE) are derived through a group N^2 of nonlinear (gauge) transformation acting in the corresponding state space. The construction generalises a constru…
Hermitian quasi-exactly solvable matrix Shroedinger operators
Stanislav Spichak, Renat Zhdanov
We construct six multi-parameter families of Hermitian quasi-exactly solvable matrix Schroedinger operators in one variable. The method for finding these operators relies heavily u…
On an integrable reduction of the Dirac equation
Renat Zhdanov
A symmetry reduction of the Dirac equation is shown to yield the system of ordinary differential equations whose integrability by quadratures is closely connected to the stationary…