New explicit exact solutions of the unstable nonlinear Schrödinger’s equation using the expa and hyperbolic function methods

Abstract

Under investigation in the present work is to study the unstable nonlinear Schrödinger’s equation which points out the time evolution of disturbances in marginally stable or unstable media. The expa and hyperbolic function methods are adopted to carry out this target in a straightforward way. A wide variety of new explicit exact solutions are successfully derived, proving the excellent performance of the schemes. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.