20 papers
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…
The Complex Bateman Equation in a space of arbitrary dimension
D. B. Fairlie, A. N. Leznov
A general solution to the Complex Bateman equation in a space of arbitrary dimensions is constructed.
The General Solution of the Complex Monge-Ampère Equation in two dimensional space
D. B. Fairlie, A. N. Leznov
The general solution to the Complex Monge-Ampère equation in a two dimensional space is constructed.