Multiple nonsymmetric nodal solutions for quasilinear Schrödinger system

In this paper, we consider the quasilinear Schrödinger system in ${\mathbb{R}}^N$($N\ge 3$): $$\{\begin{array}{rllll}& {\displaystyle }& {\displaystyle -\mathrm{\Delta }u+A(x)u-\frac{1}{2}\mathrm{△}(u^2)u=\frac{2\alpha }{\alpha +\beta }\mathrm{\mid }u{\mathrm{\mid }}^{\alpha -2}u\mathrm{\mid }v{\mathrm{\mid }}^{\beta },}& & \\ & {\displaystyle }& {\displaystyle -\mathrm{\Delta }v+Bv-\frac{1}{2}\mathrm{△}(v^2)v=\frac{2\beta }{\alpha +\beta }\mathrm{\mid }u{\mathrm{\mid }}^{\alpha }\mathrm{\mid }v{\mathrm{\mid }}^{\beta -2}v,}& & \end{array}$$ where $\alpha ,\beta >1$, $2<\alpha +\beta <\frac{4N}{N-2}$,$B>0$ is a constant. By using a constrained minimization on Nehari-Pohožaev set, for any given integer $s\ge 2$, we construct a non-radially symmetrical nodal solution with its $2s$ nodal domains.