Embedded solitons with X^((2)) nonliner susceptibility

Yıldırım, Y.; Biswas, A.; Ekici, M.; Khan, S.; Triki, H.; Moraru, L.; Alzahrani, A. K.; Belic, M. R.

doi:10.24200/sci.2022.55560.4276

Embedded solitons with X^((2)) nonliner susceptibility

Document Type : Research Article

Authors

¹ Department of Mathematics, Faculty of Arts and Sciences, Near East University, 99138 Nicosia, Cyprus

² - Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA - Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia

³ Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey

⁴ Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA

⁵ Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box: 12, 23000 Annaba, Algeria

⁶ Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Romania

⁷ Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia

⁸ Science Program, Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar

10.24200/sci.2022.55560.4276

Abstract

This paper recovers optical soliton solutions with $\chi^{(2)}$--nonlinear susceptibility. Bright, dark, singular, bright--dark combo solitons are recovered. A variety of algorithms are implemented. These include Riccati equation approach, exp--function expansion, modified simple equation method, sine-Gordon equation scheme, $F$--expansion, trial function and functional variable approaches.
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This paper recovers optical soliton solutions with $\chi^{(2)}$--nonlinear susceptibility. Bright, dark, singular, bright--dark combo solitons are recovered. A variety of algorithms are implemented. These include Riccati equation approach, exp--function expansion, modified simple equation method, sine-Gordon equation scheme, $F$--expansion, trial function and functional variable approaches.
%
This paper recovers optical soliton solutions with $\chi^{(2)}$--nonlinear susceptibility. Bright, dark, singular, bright--dark combo solitons are recovered. A variety of algorithms are implemented. These include Riccati equation approach, exp--function expansion, modified simple equation method, sine-Gordon equation scheme, $F$--expansion, trial function and functional variable approaches.

Keywords

20.1001.1.10263098.2023.30.6.16.3

References

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