On long time behavior of solutions of the Schrödinger-KdV system with and without resonant interactions

Felipe Linares, Dequin Zhou

We consider the long time behavior of the solutions of the coupled Schrödinger-KdV systems \begin{eqnarray*} \left\{ \begin{array}{llll}i\partial_tu+\partial^2_xu=αuv+βu|u|^2,\h…