Abstract
The paper gives results obtained from the theory of linear and nonlinear waves propagating in relativistic electron–positron plasma with a strong external magnetic field. The possible application of these results to explain the radiation mechanism in pulsars is discussed. The nonlinear equation describing the behaviour of the amplitude profile of the waves, propagating at an angle to the external magnetic field is studied in the low frequency region. The radiation intensity of a pulsar is calculated in terms of soliton solution of the equation. The results obtained are compared with the experimental data. Two mechanisms of formation of bunches along the magnetic field are considered. The first mechanism is due to propagation of Langmuir waves along the magnetic field in the case when the distribution functions of electrons and positrons do not coincide, or when there is a small admixture of protons in plasma. The second mechanism is the propagation of an Alfven wave soliton at a small angle to the magnetic field. It is shown that in propagating of a magnetosonic soliton at an angle to the curved magnetic field the plane of polarization rotates.
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