NODAL Vector solutions with clustered peaks for a nonlinear elliptic equations in ${\mathbb{R}}^3$

Qihan He, Chunhua Wang

In this paper, we study the following coupled nonlinear Schrödinger system in ${\mathbb{R}}^3$ $$ \left\{% \begin{array}{ll} -ε^2Δu +P(x)u=μ_1 u^3+βv^2u,~~&x\in \R^3,\vspace{0.15cm}\\ -ε^2Δv…