40 citations · 166 across the 49 of their papers we have counts for
49 papers
The wave function of the modified space time manifold
A. N. Leznov
In the present paper it is considered space time manifold with four commutative coordinates with Poincáre group of motion but different from Poincáre Minkowski space time of the mo…
Monge equation of arbitrary degree in 1 + 1 space
A. N. Leznov, R. Torres-cordoba
Solution of Monge equation of arbitrary degree (non linear differential equation n-orden) is connected with solution of functional equation for 4 functions with 4 different argumen…
Series solution of the 1+2 continuous Toda Chain
D. B. Fairlie, A. N. Leznov, R. Torres-Cordoba
A way to obtain the series solutions of the 1 + 2 dimensional continuous Toda chain is presented.
What our world might be like (as alternative to Minkowski space-time with Poincare group of motion)
A. N. Leznov
It is proposed four dimensional curved space-time with de-Sitter group of motion. Theory contain free dimension constants of length, impulse and action. Under infinite values of th…
Conformal quantum space with Poincare group of motion
A. N. Leznov
It is shown that algebra of quantum space of the title of the present paper may be realized on usual unphysical Minkowskii one. Equations of field theory and there solutions are di…
Two Poisson structures invariant with respect to discrete transformation in the case of arbitrary semi-simple algebras
A. N. Leznov
Two Poisson structures invariant with respect to discrete transformation of the Maximal root in the case of arbitrary semi-simple algebras are presented in explicit form. Thus the…