abstract
- © 2021 IOP Publishing Ltd.We derive a family of optical solitons from a non-linear Schrödinger¿s equation with an external potential in a (1 + 1)D system. The soliton solutions can be expressed in a closed form by using a Lorentzian apodization and associated Legendre functions, in contrast to the more common solitons using a Gaussian apodization. Similarly, an analytical and bounded form for the external optical potential is also found, and furthermore, a general formula for the power is obtained. Remarkably, we found that these solitons are stable in their propagation for certain values of power and width of the solitons. Finally, we report several interesting propagation dynamics for the unstable scenario: from loss of the beam¿s inner structure by splitting of the initial soliton profile to breathing decaying solitons.