Investigating phase portraits and extraction of new solitary wave solutions related to the generalized resonant nonlinear Schrödinger equation

This research dissects solitary wave solutions of generalized resonant nonlinear Schrödinger equation, whose primary uses include the transmission of light across nonlinear optical fibers. To generate bright, dark, kink-type, and singular kink-type solitary waves that rely on the intensity of the propagating pulse, an extended direct algebraic technique with symbolic computation is used. For different values of the parameters, the propagation of some specific solutions in a graphically detailed report has also been demonstrated. Then the bifurcation structures of the heeded model have been determined using a planer dynamical system and phase portraits.