Cubic–Quartic Optical Soliton Pertubation with Complex Ginzburg–Landau Equation

Anjan Biswas This email address is being protected from spambots. You need JavaScript enabled to view it.^1,2,3,4, Yakup Yıldırım⁵, Mehmet Ekici⁶, Padmaja Guggilla¹, Salam Khan¹, O. González-Gaxiola⁷, Abdullah Khamis Alzahrani², and Milivoj R. Belic⁸

¹Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA
²Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia
³Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow-115409, Russian Federation
⁴Department of Mathematics and Applied Mathematics„ Sefako Makgatho Health Sciences University, Medunsa–0204, South Africa
⁵Department of Mathematics, Faculty of Arts and Sciences„ Near East University, 99138 Nicosia, Cyprus
⁶Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey
⁷Departamento de Matemáticas Aplicadas y Sistemas, Universidad Autónoma Metropolitana-Cuajimalpa. , Vasco de Quiroga 4871, 05348 Mexico City, Mexico
⁸Institute of Physics Belgrade, Pregrevica 118, 11080 Zemun, Serbia

REFERENCES

1. [1] M. A. Abdou, A. A. Soliman, A. Biswas, M. Ekici, Q. Zhou & S.P. Moshokoa. “Dark–singular combo optical solitons with fractional complex Ginzburg–Landau equation". Optik. Volume 171, 463–467. (2018).
2. [2] G. Akram, N. Mahak, Application of the first integral method for solving (1+1)–dimensional cubic–quintic complex Ginzburg–Landau equation". Optik. Volume 164, 210–217. (2018).
3. [3] A. H. Arnous, A. R. Seadawy, R. T. Alqahtani & A. Biswas. “Optical solitons with complex Ginzburg–Landau equation by modified simple equation method" Optik. Volume 144, 475–480. (2017).
4. [4] S. Arshed. “Soliton solutions of fractional complex Ginzburg–Landau equation with Kerr law and non–Kerr law media". Optik. Volume 160, 322–332. (2018).
5. [5] S. Arshed, A. Biswas, F. Mallawi & M. R. Belic. “Optical solitons with complex Ginzburg–Landau equation having three nonlinear forms". Physics Letters A. Volume 383, Issue 36, 126026. (2019).
6. [6] A. Biswas. “Chirp–free bright optical solitons and conservation laws for complex Ginzburg–Landau equation with three nonlinear forms". Optik. Volume 174, 207–215. (2018).
7. [7] A. Biswas. “Temporal 1–soliton solution of the complex Ginzburg–Landau equation with power law nonlinearity". Progress in Electromagnetics Research. Volume 96, 1–7. (2009).
8. [8] A. Biswas & R. T. Alqahtani. “Optical soliton perturbation with complex Ginzburg–Landau equation by semi–inverse variational principle". Optik. Volume 147, 77–81. (2017).
9. [9] A. Biswas, Y. Yildirim, E. Yasar, H. Triki, A. S. Alshomrani, M. Z. Ullah, Q. Zhou, S. P. Moshokoa & M. Belic. “Optical soliton perturbation with complex Ginzburg–Landau equation using trial solution approach". Optik. Volume 160, 44–60. (2018).
10. [10] A. Biswas, Y. Yildirim, E. Yasar, H. Triki, A. S. Alshomrani, M. Z. Ullah, Q. Zhou, S. P. Moshokoa & M. Belic. “Optical soliton perturbation for complex Ginzburg–Landau equation with modified simple equation method". Optik. Volume 158, 399–415. (2018).
11. [11] M. Mirzazadeh, M. Ekici, A. Sonmezoglu, M. Eslami, Q. Zhou, A. H. Kara, D. Milovic, F. B. Majid, A. Biswas & M. Belic. “Optical solitons with complex Ginzburg–Landau equation". Nonlinear Dynamics. Volume 85, Issue 3, 1979–2016. (2016).
12. [12] S. Naghshband & M. A. F. Araghi. “Solving generalized quintic complex Ginzburg–Landau equation by homotopy analysis method". Ain Shams Engineering Journal. Volume 9, Issue 4, 607–613. (2018).
13. [13] M. S. Osman. “On complex wave solutions governed by the 2D Ginzburg–Landau equation with variable coefficients". Optik. Volume 156, 169–174. (2018).
14. [14] S. Shwetanshumala. “Temporal solitons of modified complex Ginzberg–Landau equation". Progress In Electromagnetics Research Letters. Volume 3, 17–24. (2008).
15. [15] H. Triki, S. Crutcher, A. Yildirim, T. Hayat, O.M. Aldossary & A. Biswas. “ Bright and dark solitons of the modified complex Ginzburg–Landau equation with parabolic and dual–power law nonlinearity". Romanian Reports in Physics. Volume 64, Issue 2, 367–380. (2012).
16. [16] Y. Yan & W. Liu. “Stable transmission of solitons in the complex cubic–quintic Ginzburg–Landau equation with nonlinear gain and higher–order effects". Applied Mathematics Letters. Volume 98, 171–176. (2019).
17. [17] E. M. E. Zayed, M. E. M. Alngar, M. El–Horbaty, A. Biswas, A. S. Alshomrani, M. Ekici, Y. Yildirm & M. R. Belic. “Optical solitons with complex Ginzburg–Landau equation having a plethora of nonlinear forms with a couple of improved integration norms". Optik. Volume 207, 163804. (2020).
18. [18] Y. Zhao, C–Y Xia & H–B Zeng. “Cascade replication of soliton solutions in the one-dimensional complex cubic–quintic Ginzburg–Landau equation". Physics Letters A. Volume 384, Issue 18, 126395. (2020).
19. [19] E. M. E. Zayed, M. E. M. Alngar, A. Biswas, S. Khan, M. Ekici, L. Moraru & A. S. Alshomrani. “Pure–cubic optical soliton perturbation with complex Ginzburg–Landau equation having a dozen of nonlinear refractive index structures". Journal of Communications Technology and Engineering. Volume 66, Issue 5, 481–544. (2021).
20. [20] M. Zhang, A. Zheng, Q. Chen & J. Liu. “Nitrogenvacancy defects induced bright, dark, and Ginzburg–Landau phonon solitons in cavity arrays". Optik. Volume 218, 165255. (2020).