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Kepler problem in deformed (quantum) four-dimensional space in non relativistic limit with Galilei group of motion
A. N. Leznov
It is shown that Kepler problem in deformed (quantum) four-dimensional space in non relativistic limit is integrable in quadratures. In non relativistic limit group of motion of qu…
Free motion in deformed (quantum) four-dimensional space
A. N. Leznov
It is shown that trajectories of free motion of the particles in deformed ("quantum") four dimensional space-time are quadratic curves.
Multisoliton solutions of 3,4,6 waves problems connectet with semisimlealgebras of the second rank
A. N. Leznov
With each semisimple algebra it is possible to connect the system of interacting waves. The number of interacting fields coincides with the number of positive roots of correspondin…
Equations of 3-th waves hierarchy
A. N. Leznov
By the method of discrete transformation equations of 3-th wave hierarchy are constructed. The main difference compare with the systems connected with algebra consists in a f…