  We establish the energy minimality property of solutions to the generalized
Painlev\'{e}-II equation $\Delta y-x_1y-2y^3=0$, $(x_1,x_2)\in \mathbb{R}^2$,
which are increasing in $x_2$ and converge to the positive and negative
Hastings-McLeod solutions as $x_2\to \pm \infty$.
