Numerical simulation of multi-solitonic solution of the vector nonlinear Schrödinger equation with a self-consistent potential
Numerical simulation of the evolution of the multisolitonic solution of the vector nonlinear Schrödinger equation with a self-consistent potential , describing a two-component Bose-gas in field-theoretical models of physics of condensed matter is carried out. Analysis of the dynamics of the evolution of multisoliton solutions shows that there is no significant breather dynamics of the motionless soliton. The mobile soliton exhibits substantial breather dynamics at three fundamental frequencies of time modulation. Soliton demonstrates stability while retaining the integral of motion with high accuracy.