Implicit quiescent optical solitons for the concatenation model with Kerr law nonlinearity and nonlinear chromatic dispersion by Lie symmetry

This study addresses the recovery of implicit quiescent optical solitons derived from the concatenation model. This model is characterized by the inclusion of Kerr law of nonlinearity, coupled with nonlinear chromatic dispersion. The innovative aspect of this work lies in its ability to uncover these implicit quiescent optical soliton solutions within the context of the model. The pivotal tool employed in achieving this revelation is Lie symmetry analysis, which enables the extraction of solutions by identifying underlying symmetries within the equation. This method provides a profound understanding of the system's behavior and uncovers relationships that might otherwise remain concealed. In essence, Lie symmetry analysis serves as a powerful technique to unveil the quiescent solitons that underlie the concatenation model. Furthermore, this investigation explores both linear and generalized temporal evolution effects within the model. By considering these different temporal dynamics, a comprehensive understanding of the system's behavior is attained. The study of linear temporal evolution sheds light on the model's response to standard temporal changes, while the exploration of generalized temporal evolution widens the scope to encompass a broader array of temporal variations. This dual perspective enriches our insight into the behavior of the concatenation model under various conditions.

Automated summary

This study successfully uncovers the implicit quiescent optical soliton solutions within the concatenation model using Lie symmetry analysis, and further explores the effects of both linear and generalized temporal evolution in the model, providing a comprehensive understanding of the system's behavior.