<p>This paper investigates the Triki-Biswas equation, which is a generalization of the nonlinear Schr<b>ö</b>dinger equation used to study pulse propagation beyond the ultrashort range in optical communication systems. By using the complete discrimination system for polynomials in its traveling wave system, the bifurcations of phase portraits are studied. The exact traveling wave solutions, including solitary wave solutions and periodic wave solutions, are derived via the methods of dynamical systems.</p>