Optical envelope patterns in nonlinear media modeled by the Lakshmanan-Porsezian-Daniel equation

Lakshmanan-Porsezian-Daniel equation describes the dynamics of dispersion optical solitons in polarization-preserving fibers. We use a direct integral method to obtain a complete list of all envelope patterns and show a varied of dynamical properties of patterns, which include solitons, singularity, periodicity and double periodicity. In particular, the parameters condition of existence of each pattern is given clearly by which the topological stability of patterns is obtained.

Automated summary

The Lakshmanan-Porsezian-Daniel equation describes the dynamics of dispersion optical solitons in polarization-preserving fibers. Through the use of a direct integral method, a complete list of envelope patterns was obtained, revealing various dynamical properties such as solitons, singularities, periodicity, and double periodicity. The parameters conditions for the existence of each pattern were clearly given, leading to the determination of the topological stability of the patterns.