Critical number of solitons in the Bose–Einstein condensate

Аннотация

The dynamics of solitons in the Bose–Einstein condensate under the effect of the fluctuation interaction of condensate atoms is studied. A system of equations of motion describing changes in the parameters of the soliton wave function is obtained using the method of the averaged Lagrangian. The minimum critical number of solitons is found, and the influence of the fluctuation interaction on the dynamics of solitons near their critical width is studied.