Nodal solutions for nonlinear Schrodinger systems

In this article we consider the nonlinear Schrodinger system - uⱼ + ⱼ uⱼ = ₈=₁㵮 _₈₉ uᵢ² uⱼ, in, uⱼ (x) = 0, on, \; j=1, l, k, where \ (RN \) (\ (N=2, 3\) ) is a bounded smooth domain, \ (ⱼ> 0\), \ (j=1, , k\), \ (₈₉\) are constants satisfying \ (₉₉>0\), \ (₈₉=₉₈ 0 \) for \ (1 i< j k\). The existence of sign-changing solutions is proved by the truncation method and the invariant sets of descending flow method. For more information see https: //ejde. math. txstate. edu/Volumes/2024/31/abstr. html