On the nonlinear new wave solutions in unstable dispersive environments

This is the authors' abstract. We don't add key points for this paper.

The exact new solutions are given in the form of rational, exponential, trigonometric and hyperbolic forms in which some of them are new and realistic for Schrödinger equation. Numeral studies have been reveals that the obtained solutions may be applicable for some physical environments, such as plasma fluids and fiber communications. The computational study and obtained conclusions reported that the offered methods are pretentious, robust and influential in applications of voyager storm analysis, observations of space plasmas and in optical fibers.