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

摘要

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.