Quiescent Optical Solitons with Cubic-Quartic and Generalized Cubic-Quartic Nonlinearity

The enhanced Kudryashov's approach retrieves quiescent bright, dark, and singular solitons to the governing model that is considered with cubic-quartic form of self-phase modulation. The algorithm however fails to retrieve stationary solitons when the nonlinearity is the generalized version of the cubic-quartic form. The current analysis is conducted with a direct approach without an intermediary phase-portrait analysis as in the past.

Automated summary

The study focuses on the application of the enhanced Kudryashov approach in dealing with the model of self-phase modulation, pointing out the limitations when the nonlinearity has a generalized form. In contrast to the common approach in the past, the current analysis employs a direct method rather than intermediate phase-portrait analysis.