3 citations · 8 across the 9 of their papers we have counts for
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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.
The Complex Bateman Equation
D. B. Fairlie, A. N. Leznov
The general solution to the Complex Bateman equation is constructed. It is given in implicit form in terms of a functional relationship for the unknown function. The known solution…
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…
Integrable systems in spaces of arbitrary dimension
A. N. Leznov
The dimensional manifold with two mutually commutative operators of differentiation is introduced. Nontrivial multidimensional integrable systems connected with arbitrary grad…