Two (3+1)-dimensional Schr & ouml;dinger equations with cubic & ndash;quintic & ndash;septic nonlinearities: Bright and dark optical solitons

摘要

This work introduces two new sixth-order (3+1)-dimensional nonlinear Schr?dinger equations with higher-order dispersive terms influenced by cubic?quintic?septic (CQS) nonlinearities. We formally retrieve bright and dark optical soliton solutions for each higher dimensional model. In addition, we find certain constraints on the parameters to determine these optical bright and dark solutions. Other solutions of distinct structures, such as singular solutions, are also formally determined.