Abstract
In this paper, we consider the periodic solution of the modified Korteweg-de Vries equation used for studies of hemodynamic processes. It is shown that the modified Korteweg-de Vries equation can be integrated by the inverse spectral problem method. The evolution of the spectral data of the Dirac operator with a periodic potential associated with the solution of the modified Korteweg-de Vries equation is determined. The obtained results substantiate the applicability of the inverse problem method for solving the modified Korteweg-de Vries equation for studying the laws of hemodynamics.
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