Multiple existence of solutions for coupled nonlinear Schrödinger equations

In this paper, we consider the multiple existence of solutions of the coupled nonlinear Schrodinger equations equation(P){−Δu+μ1u=u3+βv2uin R3−Δv+μ2v=v3+βu2vin R3 where μ1,μ2μ1,μ2 and β>0β>0.