A perturbed nonlinear Schrödinger equation with the power law nonlinearity is studied from the planar-dynamic system viewpoint.

Through the qualitative and bifurcation analysis, phase portraits of the dynamic system are given.

Relations among the Hamiltonian, orbits of the dynamic system and types of the analytic solutions are discussed.

The equation possesses the periodic-wave solutions, kink- and bell-shaped solitary-wave solutions.

A periodic wave can reduce to a solitary wave under a Hamiltonian-dependent limiting condition.