Multipole vector solitons in coupled nonlinear Schrödinger equation with saturable nonlinearity

We construct the coupled self-defocusing saturated nonlinear Schrodinger equation and obtain dipole-dipole, tripole-dipole and dipole-tripole vector solitons soliton solutions by changing the potential function parameters and using the square operator method of power conservation. With the increase of soliton power, dipole-dipole, tripole-dipole and dipole-tripole vector solitons can exist. The existence of three kinds of vector solitons is obviously modulated by the potential function, and the existence domain modulated by the potential function of three kinds of vector solitons is given. The stability domain of three vector solitons is modulated by the soliton power of each component. The stability regions of three kinds of vector solitons expand with the increase of the power of two-component solitons. With the increase of saturable nonlinear strength, the power of the tripole-dipole and dipole-tripole vector solitons at the critical points from stable state to unstable state decreases gradually, and yet the power of the soliton at the critical point from the stable state to the unstable state does not change.