Abstract
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.
•Nonlinear analysis approach is used to solve the (n+1)-dimensional Schrödinger equation.•Highly performance and efficient methods are applied.•The physical stable and unstable solutions are examined.•Some new rational solutions of the (n+1)-dimensional Schrödinger equation are obtained.•The results are important in fiber optics applications.