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In the work there is considered a model of magnetic reconnection in magnetosphere of a neutron star subjected to a shock wave. An origin of the shock wave can be explosion of a supernova. In the proposed planar model the field of neutron star is approximated as a point magnetic dipole. The emerging magnetic field is supposed to be potential. A form of the magnetosphere boundary is determined from the condition of equilibrium between external gas pressure and interior magnetic pressure. Existence of a current layer is supposed in the magnetosphere's tail. The model under consideration is reduced to consequent solution of two Riemann - Hilbert problems. The first one determines the shape of the magnetosphere, whereas the second one gives the magnetic eld. The obtained analytic solution of the both problems, in particular, showed the presence of reverse current in the current layer. The magnetosphere generated by interaction of the shock wave and strong magnetic eld of the neutron star is non-equilibrium. Specic feature of such a magnetosphere is an emergence of reverse current. The magnetic energy accumulated by the reverse current releases as bursts of gamma-impulses or hard radiation of other kind. Bibliography. [1] Somov B.V., Plasma Astrophysics, Part II, Reconnection and Flares. Springer SBM, New York, 2013. [2] Bezrodnykh S.I., Somov B.V. // Doklady Akademii Nauk. 2014. In print.