Resonant optical solitons with parabolic and dual-power laws by semi-inverse variational principle

Abstract

This paper obtains bright optical soliton solutions from resonant nonlinear Schrödinger’s equation by the aid of semi-inverse variational principle. The two forms of nonlinear media studied are parabolic and dual-power law. The necessary constraints for the existence of these solitons are also presented.

Keywords:

• Solitons
• semi-inverse variation
• parabolic law
• dual-power law

Acknowledgements

The second author (QZ) was funded by the National Natural Science Foundation of China under the grant number 11705130. The sixth author (SPM) would like to thank the research support provided by the Department of Mathematics and Statistics at Tshwane University of Technology and the support from the South African National Foundation under Grant Number 92052 IRF1202210126. The research work of seventh author (MB) was supported by Qatar National Research Fund (QNRF) under the grant number NPRP 8-028-1-001.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant number 11705130]; Tshwane University of Technology [grant Number 92052 IRF1202210126]; Qatar National Research Fund (QNRF) [grant number NPRP 8-028-1-001].