Bright and dark solitons for the resonant nonlinear Schrödinger's equation with time-dependent coefficients

In this paper, the resonant nonlinear Schrödinger's equation is studied with five forms of nonlinearity. This equation is also considered with time-dependent coefficients and additionally time-dependent linear attenuation is considered. The ansatz method approach is used to carry out the integration. Both bright and dark soliton solutions are obtained in this paper. The constraint conditions for the existence of soliton solutions are also given.

► Soliton solutions are obtained. ► Both bright and dark soliton solutions are retrieved. ► There are five forms of nonlinearity that are considered. ► The constraint conditions are obtained.