Dynamical behaviors of various optical soliton solutions for the Fokas–Lenells equation
Abstract
In this work, the new optical soliton solutions and interaction solutions for the space-time fractional Fokas–Lenells equation with fractional -derivatives are constructed via three mathematical analytical techniques, namely the extended SE method, unified solver method, and three-wave methods. The results have proved the efficiency of the suggested techniques for obtaining abundant optical soliton solutions to nonlinear evolution equations (NLEEs) and closed-form solutions in the forms of rational function solutions; hyperbolic and trigonometric function solutions and multi-wave interaction solutions are obtained. These techniques are more efficient, robust, and powerful mathematical tools for acquiring several optical soliton solutions for many other fractional space-time NLEEs that arise in optical physics and plasma physics. The graphical representations of the combined optical solitons are demonstrated using three- and two-dimensional graphics.
References
- 1. , The Analysis of Fractional Differential Equations (Springer, Berlin, 2010). Crossref, Google Scholar
- 2. , An Introduction to the Fractional Calculus and Fractional Differential Equations (Wiley, New York, NY, 1993). Google Scholar
- 3. , Fractional Differential Equations (Academic Press, San Diego, CA, 1999). Google Scholar
- 4. , The Fractional Calculus (Academic Press, San Diego, CA, 1974). Google Scholar
- 5. , Chaos Solitons Fractals 116 (2018) 121. https://doi.org/10.1016/j.chaos.2018.09.019 Crossref, ISI, ADS, Google Scholar
- 6. , Phys. Lett. A 359 (2006) 175. https://doi.org/10.1016/j.physleta.2006.06.024 Crossref, ISI, ADS, Google Scholar
- 7. , Eur. Phys. J. Plus 135 (2020) 870. Crossref, ISI, Google Scholar
- 8. , Mod. Phys. Lett. B 35 (2020) 2150252. Link, ISI, ADS, Google Scholar
- 9. , Int. J. Mod. Phys. B 35 (2021) 2150028. Link, ISI, ADS, Google Scholar
- 10. , Mod. Phys. Lett. B 34 (2020) 2150015. Link, ISI, ADS, Google Scholar
- 11. , Eur. Phys. J. Plus 135 (2020) 162. Crossref, ISI, Google Scholar
- 12. , Optik 125 (2014) 6874. https://doi.org/10.1016/j.ijleo.2014.02.044 Crossref, ISI, ADS, Google Scholar
- 13. , Pramana 81 (2013) 225. https://doi.org/10.1007/s12043-013-0565-9 Crossref, ISI, ADS, Google Scholar
- 14. , Chin. J. Phys. 56 (2018) 2500. https://doi.org/10.1016/j.cjph.2018.06.009 Crossref, ISI, ADS, Google Scholar
- 15. , J. Coupled Syst. Multiscale Dyn. 6 (2018) 217. https://doi.org/10.1166/jcsmd.2018.1160 Crossref, ISI, Google Scholar
- 16. , Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of their Solution and Some of their Applications (Academic Press, New York, NY, 1998), p. 198. Google Scholar
- 17. , The Fractional Calculus (Academic Press, New York, NY, 1974). Google Scholar
- 18. , Adv. Differ. Equ. 2017 (2017) 88. https://doi.org/10.1186/s13662-017-1139-9 Crossref, ISI, Google Scholar
- 19. , Pure Appl. Geophys. 91 (1971) 134. https://doi.org/10.1007/BF00879562 Crossref, ISI, ADS, Google Scholar
- 20. , Chaos 29 (2019) 023110. https://doi.org/10.1063/1.5082390 Crossref, ISI, Google Scholar
- 21. , Theory Appl. Heat. Transfer Model. Therm. Sci. 20 (2016) 763. https://doi.org/10.2298/TSCI160111018A Google Scholar
- 22. , Abstr. Appl. Anal. 2013 (2013) 279681. https://doi.org/10.1155/2013/279681 Google Scholar
- 23. , J. Comput. Appl. Math. 264 (2014) 65. https://doi.org/10.1016/j.cam.2014.01.002 Crossref, ISI, Google Scholar
- 24. , J. Comput. Appl. Math. 366 (2019) 112410. https://doi.org/10.1016/j.cam.2019.112410 Crossref, ISI, Google Scholar
- 25. , Int. J. Anal. Appl. 16 (2018) 83. ISI, Google Scholar
- 26. ,
Taylor's formula and integral inequalities for conformable fractional derivatives , in Contributions in Mathematics and Engineering (Springer, 2016), pp. 25–43. Crossref, Google Scholar - 27. , Math. Methods Appl. Sci. 43(5) (2019) 2548. Crossref, ISI, Google Scholar
- 28. ,
Conformable fractional inequalities , in Frontiers in Functional Equations and Analytic Inequalities, eds. G. AnastassiouJ. Rassias (Springer, Cham, 2019). Crossref, Google Scholar - 29. , Chin. J. Phys. 63 (2020) 314–324. Crossref, ISI, Google Scholar
- 30. , Mod. Phys. Lett. B 33 (2019) 1950317. Link, ISI, ADS, Google Scholar
- 31. , Optik 165 (2018) 288. Crossref, ISI, ADS, Google Scholar
- 32. M. Inc, H. Rezazadeh and D. Baleanu, Front. Phys. (2020), in press. Google Scholar
- 33. , Phys. Scr. 95 (2020) 065212. Crossref, Google Scholar
- 34. , Indian J. Phys. 93(4) (2019) 537. Crossref, ISI, ADS, Google Scholar
- 35. M. A. Abdou, Waves Random Media Complex Media, https://doi.org/10.1080/17455030.2018.1517951 Google Scholar
- 36. , Phys. Scr. 96 (2021) 035224. Crossref, ISI, Google Scholar
- 37. , Res. Phys. 16 (2020) 102895. Google Scholar
- 38. , Commun. Theor. Phys. 71 (2019) 1063. Crossref, ISI, ADS, Google Scholar
- 39. , Aims Math. 5 (2020) 2057. Crossref, ISI, Google Scholar
- 40. , Int. J. Nonlinear Sci. 26 (2018) 55. Google Scholar
- 41. , J. Ocean Eng. Sci. 2 (2017) 288. Crossref, ISI, Google Scholar
- 42. , Res. Phys. (2020). https://doi.org/10.1016/j.rinp.2020.103209 Google Scholar
- 43. , Int. J. Numer. Methods Heat Fluid Flow 22 (2012) 829. Crossref, ISI, Google Scholar
- 44. , Nonlinear Sci. Lett. A 6 (2015) 10. Google Scholar
- 45. , AIMS Math. 5(6) (2020) 7272. Crossref, ISI, Google Scholar
- 46. M. A. Abdou, S. Owyed, S. Saha Ray, M. Inc, Y. M. Chu and L. Ouahid, Adv. Math. Phys. (2020), in press. Google Scholar
- 47. , Indian J. Phys. (2021) 1. ISI, Google Scholar
- 48. , Res. Phys. 26(1) (2021) 104453. Google Scholar
- 49. , Commun. Theor. Phys. 73 (2021) 105007. Crossref, ISI, ADS, Google Scholar
- 50. , Mod. Phys. Lett. B 33 (2021) 2150444. Link, ISI, Google Scholar
- 51. , Mod. Phys. Lett. B 35 (2021) 2150442. Link, ISI, ADS, Google Scholar
- 52. , Nonlinear Dyn. 104(3) (2021) 2639. Crossref, ISI, Google Scholar
- 53. , Nonlinear Dyn. 92 (2018) 1103. Crossref, ISI, Google Scholar
- 54. , Nonlinear Dyn. 88 (2017) 655. Crossref, ISI, Google Scholar
- 55. , Res. Phys. 19 (2021) 103532. Google Scholar
- 56. , Anal. Math. Phys. 10 (2020) 1. Crossref, ISI, Google Scholar
- 57. , Eur. Phys. J. Plus 135 (2020) 412. Crossref, ISI, Google Scholar
- 58. , Z. Angew. Math. Phys. 72 (2021) 154. Crossref, ISI, Google Scholar
- 59. , Nonlinear Dyn. 104 (2021) 1507. Crossref, ISI, Google Scholar
Remember to check out the Most Cited Articles! |
---|
Boost your collection with these New Books in Condensed Matter Physics today! |