In this paper, we investigate several important properties of the generalized nonlinear Schrödinger equation with \(\mathcal{P}\mathcal{T}\) -symmetric \(\delta \) -sech optical potentials, such as the phase breaking of \(\mathcal{P}\mathcal{T}\) -symmetric \(\delta \) -sech potentials, and existence, dynamics and excitations of new soliton solutions. Specifically, we identify the fully real spectral region of the non-Hermitian Hamiltonian and observe the phase-breaking phenomenon. Additionally, we discover a new soliton solution that represents a peakon solution, a smooth soliton solution, and a double-hump soliton solution under different potential parameters. We analyze the stability of these three types of solutions and determine their stability domains. Furthermore, we study the numerical peakon solution and its stability. In particular, we investigate the interaction of peakon solutions and observe semi-elastic interactions. Finally, we explore the stable adiabatic excitations of peakons. These results contribute to a deeper understanding of \(\mathcal{P}\mathcal{T}\) -symmetric optical fields and provide insights for related experimental works.
