Bright and dark optical solitons for (3+1)-dimensional Schrodinger equation with cubic-quintic-septic nonlinearities

This work addresses the soliton propagation for a sixth-order (3+1)-dimensional nonlinear Schrodinger equation with fourth-order and sixth-order dispersive terms under the influence of cubic-quintic-septic nonlinearities. We formally retrieve bright and dark optical soliton solutions for this equation. In addition, we find certain constraints on the parameters to determine these optical solutions. We employ other ansatze to determine other singular and periodic solutions. The obtained results may be helpful in understanding the wave dynamics in a cubic-quintic-septic nonlinear material such as chalcogenide glass.

Automated summary

This study addresses soliton propagation in a sixth-order nonlinear Schrodinger equation with fourth-order and sixth-order dispersive terms influenced by cubic-quintic-septic nonlinearities. Bright and dark optical soliton solutions are formally derived, with constraints on parameters for determining these solutions. Other ansatze are employed to determine additional singular and periodic solutions. The findings could enhance understanding of wave dynamics in cubic-quintic-septic nonlinear materials such as chalcogenide glass.