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

Document Type : 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

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

References

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Scientia Iranica
Volume 30, Issue 6
Transactions on Computer Science & Engineering and Electrical Engineering (D)
November and December 2023
Pages 2125-2142

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