Numerical modeling of evolution of the two-solitonic solution of the scalar nonlinear Schroedinger equation with the potential of attraction

Present article is devoted to numerical modeling of evolution of the two-solitonic solution of the scalar nonlinear Schroedinger equation with the potential of attraction. We study two-solitonic solutions to the nonlinear Schroedinger equation with potential of attraction under condensate boundary conditions, which have been constructed by finite-zone method. Numerical simulations demonstrate stability of the above mentioned solutions under different vacua on the left and right boundaries. The solitonic solutions show Akhmediev breather - like behaviour during its motion, freezing under vanishing velocities. (author)