On modelling of charge dynamics in the viggler's type system with a guiding magnetic field

The integrals of movement were constructed in this work which described the charge dynamics, in the configuration of the electromagnetic field of the viggler's type taking into account the starting conditions and parameters of the field. On this basis a nonlinear differential equation is derived for the longitudinal impulse or for the charge enemy as a function or the interaction range, periodic and soliton solutions of which are analyzed.