In this paper, we will extract new types of ideal optical soliton solution to the space and time invariant nonlinear Schrödinger equation. The proposed model represents the two layer baroclinic instability and lossless symmetric two streams plasma instability. We will extract this Package of these ideal optical soliton solutions for this model by using two distinct methods one of them surrenders to the balance rule and has profile name the solitary wave ansatz method while the other doesn’t surrender to the balance rule and has profile name the modified extended mapping method. The two suggested methods have been implemented in the same vein and parallel. Some of our achieved results agree with that realized previously by other authors in some cases and the remains are new.