Higher-order Sasa-Satsuma equation: Bright and dark optical solitons

In this work we present a generalized nonlinear (3+1)-dimensional Sasa-Satsuma equation. This equation is influenced by nonlinearity and spatial dissipations effects in all spatial directions. We formally retrieve bright and dark optical soliton solutions for this higher dimensional Sasa- Satsuma model. In addition, other singular and exponential solutions of distinct structures are derived.

Automated summary

This work introduces a generalized nonlinear Sasa-Satsuma equation with bright and dark optical soliton solutions, as well as other singular and exponential solutions of different structures.