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

Under investigation in the present work is to study the unstable nonlinear Schrodinger's equation which points out the time evolution of disturbances in marginally stable or unstable media. The exp(a) 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.