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 Schrödinger equationý, ýsoliton perturbation theory is developed for the F=1 bright spinor Bose-Einstein condensatesý. ýA small disturbance of the integrability condition can be considered as a small correction to the integrable equationý. ýBy choosing appropriate perturbationý, ýthe soliton solution for small deviation from the integrability condition is foundý. ýNumerical simulations exhibit good agreement with analytical results.