10 papers · 1 filter
Discrete and Backlund (!) transformations of SDYM system
A. N. Leznov
Symmetry of SDYM equations for "physically restricted solution" with hermitian group element in representation of Yang is described. Such transformation pass some PRS…
and automorphism of the systems of equations of integrable hierarchies. Discrete and Backlund transformations
A. N. Leznov
It is shown that there exists two inner authomorpism which lead to different form of the sistems equations of integrable hierarchy. We present discrete and Backlund transformation…
Spherically symmetrical configurations of self-dual Yang-Mills and Einstein-Plebanski equations
A. N. Leznov, P. A. Marquez Aguilar, S. Mansurova
Spherically symmetrical reductions of self-dual Yang-Mills and Einstein-Plebanski equations are constructed at the same manner. As in the first case we come back to known before so…
A Discourse on the Benney Equation
A. N. Leznov, J. Sanchez Mondragon
It is shown that the Benney system is equivalent to a one body classical dynamical problem in which the interaction potential is a functional of the action function. The general so…
Representation of the quantum algebra in the basis with diagonal generator
A. N. Leznov
Generators of the quantum algebra are obtained in the explicit form in the basis where the operator is diagonal. It is shown tha…
The connection of Monge-Bateman equations with ordinary differential equations and their generalisation
A. N. Leznov
It is shown that the Monge equation is equivalent to the ordinary differential equation of free motion. Equations of Monge type (with their general solutions) are conne…