On the physical nonlinear (n＋1)-dimensional Schrödinger equation applications

Physical exact nonlinear new solutions for the (n+1)-dimensional Schrödinger have been obtained using RB sub-ODE and He's semi-inverse techniques. New structures as trigonometric, rational and exponential hyperbolic solitary forms confirmed many physical phenomena's. We deduce several types of solutions that include bright optical and dark solitons, which are very important from a physical point of view in optical fibers and plasma physics. The proposed two techniques can be also utilized to other models arising in new physics and applied science.