Optical solitons and conservation laws associated with Kudryashov's sextic power-law nonlinearity of refractive index

We recover the cases of solutions in the shape of bright, dark and singular optical solitons for the self-phase modulation effect, which belongs to the type of N. A. Kudryashov's sextic power-law nonlinearity of refractive index. Three different integration schemes have been implemented. These are a unified Riccati equation, our new mapping scheme and our addendum to the common N. A. Kudryashov's method. All of the solitons are enlisted and the criterions of their existence are mentioned. Finally, we extract three appropriate conservation laws.

Automated summary

In this study, we investigate the cases of bright, dark, and singular optical solitons for the self-phase modulation effect, which falls under N. A. Kudryashov's sextic power-law nonlinearity of refractive index. Three different integration schemes have been utilized, including a unified Riccati equation, a new mapping scheme, and an addendum to Kudryashov's method. The solitons are listed, the criteria for their existence are mentioned, and three appropriate conservation laws are extracted.