Solitons for nearly integrable bright spinor Bose-Einstein condensate

Using the explicit forms of eigenstates for linearized operator related to a matrix version of Nonlinear Schrodinger equation, soliton perturbation theory is developed for the F = 1 bright spinor Bose-Einstein condensates. A small disturbance of the integrability condition can be considered as a small correction to the integrable equation. By choosing appropriate perturbation, the soliton solution for small deviation from the integrability condition is found. Numerical simulations exhibit good agreement with analytical results.