Singularity analysis and explicit solutions of a new coupled nonlinear Schrödinger type equation

The Painlevé test is performed for a new coupled nonlinear Schrödinger type equation. It is shown that this equation passes the integrability test and is P-integrable. By means of the truncated singular expansions, we construct some novel explicit solutions from the trivial zero solution. Furthermore, the traveling wave solutions are presented by direct quadrature method.