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The motion of the charged particles in graphen in the frame of the quantumnon-local hydrodynamic description is considered. It is shown as results of themathematical modeling that the mentioned motion is realizing in the solitonforms. The dependence of the size and structure of solitons on the differentphysical parameters is investigated.

Application of Non-local Quantum Hydrodynamics to the Description of the Charged Density Waves in the Graphen Crystal Lattice