Ground state of indefinite coupled nonlinear Schrödinger systems

Ruijin Xu, Jiabao Su, Rushun Tian

In this paper, we study the ground state solutions of the following coupled nonlinear Schrödinger system (P) $-\hat{I}”u_1-\ddot{I}{„}_1{u}_1=\hat{I}{¼}_1{u}_1^3+{\hat{I}}^2{u}_1{u}_2^2$, $ -Δu_2-τ_2 u_2 =μ_2u_2^3+…