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Some mixed trigonometric complex soliton solutions to the perturbed nonlinear Schrödinger equation

Wei Gao

Harran University, Department of Mathematics and Science Education, Sanliurfa, Turkey

School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China

E-mail Address: gaowei@ynnu.edu.cn

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Behzad Ghanbari

Department of Engineering Science, Kermanshah University of Technology, Kermanshah, Iran

Faculty of Engineering and Natural Sciences, Bahcesehir University, 34349 Istanbul, Turkey

E-mail Address: b.ghanbary@yahoo.com

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Hatira Günerhan

Department of Mathematics, Faculty of Education, Kafkas University, Kars, Turkey

E-mail Address: gunerhanhatira@gmail.com

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, and

Haci Mehmet Baskonus

Harran University, Department of Mathematics and Science Education, Sanliurfa, Turkey

E-mail Address: hmbaskonus@gmail.com

Corresponding author.

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https://doi.org/10.1142/S0217984920500347Cited by:58 (Source: Crossref)

Abstract

This work deals with finding new complex solitons to the perturbed nonlinear Schrödinger model with the help of an analytical method. Using several computation programs, we gain entirely new solitons to the considering model. Under the choice of suitable values of the parameters, density graphs to the reported solutions, such as complex, hyperbolic, trigonometric and exponential, are successfully presented. Simulations in various dimensions are also plotted by using package programs.

Keywords:

References

1. T. A. Sulaiman, H. Bulut and H. M. Baskonus, Discrete Contin. Dyn. Syst. Ser. S (2020). Google Scholar
2. M. Eslami and M. Mirzazadeh, Nonlinear Dynam. 83 (2016) 731. Web of Science, Google Scholar
3. M. Eslami, Optik 126 (2016) 3987. Web of Science, ADS, Google Scholar
4. H.-M. Yin, B. Tian, C.-C. Hu and X.-C. Zhao, Appl. Math. Lett. 93 (2019) 139. Web of Science, Google Scholar
5. A. Bouzida, H. Triki, M. Z. Ullah, Q. Zhou, A. Biswas and M. Belic, Optik 142 (2017) 77. Web of Science, ADS, Google Scholar
6. W. Jin, H. L. Ho, Y. C. Cao, J. Ju and L. F. Qi, Opt. Fiber Technol. B 19(6) (2013) 741. Web of Science, ADS, Google Scholar
7. E. W. Weisstein, Concise Encyclopedia of Mathematics, 2nd edn. (CRC Press, New York, 2002). Google Scholar
8. B. Ghanbari and M. Inc, Eur. Phys. J. Plus 133 (2018) 142. Web of Science, Google Scholar
9. M. S. Osman and B. Ghanbari, Optik 175 (2018) 328. Web of Science, ADS, Google Scholar
10. B. Ghanbari and N. Raza, Mod. Phys. Lett. B 33(3) (2019) 1. Link, Web of Science, Google Scholar
11. C. Cattani, Int. J. Fluid Mech. Res. 30(5) (2003) 463. Google Scholar
12. Z. Zhao, Appl. Math. Lett. 89 (2019) 103. Web of Science, Google Scholar
13. C. Cattani, G. Pierro and G. Altieri, Math. Probl. Eng. 2012 (2012) (193761). Google Scholar
14. Z. Zhao and B. Han, Anal. Math. Phys. 9(1) (2019) 119. Web of Science, Google Scholar
15. C. Cattani and A. Paoluzzi, Comput.-Aided Design 22(2) (1990) 130. Web of Science, Google Scholar
16. Y. Zhang, C. Cattani and X. J. Yang, Entropy 17(10) (2015) 6753. Web of Science, ADS, Google Scholar
17. B. L. Guo, L. M. Ling and Q. P. Liu, Phys. Rev. E: Stat. Nonlin. Soft Matter Phys. 85(2) (2012) 026607. Web of Science, ADS, Google Scholar
18. A. Yokus and H. Bulut, Indian J. Phys. 92(12) (2018) 1571. Web of Science, ADS, Google Scholar
19. M. H. Heydari, M. R. Hooshmandasl, F. M. M. Ghaini and C. Cattani, J. Comput. Phys. 270 (2014) 402. Web of Science, ADS, Google Scholar
20. T. A. Sulaiman, H. Bulut, A. Yokus and H. M. Baskonus, Indian J. Phys. 93(5) (2019) 647. Web of Science, ADS, Google Scholar
21. C. Cattani, S. Chen and G. Aldashev, Math. Probl. Eng. 2012 (2012) 868413. Google Scholar
22. A. Yokus and H. Bulut, Int. J. Optim. Control: Theor. Appl. 9(1) (2018) 18. Google Scholar
23. C. Cattani, Math. Model. Anal. 11(2) (2006) 117. Google Scholar
24. G. Yel, H. M. Baskonus and H. Bulut, Indian J. Phys. 93(8) (2019) 1031. Web of Science, ADS, Google Scholar
25. C. Cattani and Ya. Ya. Rushchitskii, Int. Appl. Mech. 39(10) (2003) 1115. Web of Science, Google Scholar
26. A. Ciancio, V. Ciancio and F. Farsaci, U.P.B. Sci. Bull. Univ. Politeh. Buch. Ser. A: Appl. Math. Phys. 69(4) (2007) 69. Google Scholar
27. C. Cattani and A. Ciancio, Math. Models Meth. Appl. Sci. 17(2) (2007) 171. Link, Web of Science, Google Scholar
28. A. Ciancio, Int. J. Wavelets Multiresolut. Solut. Inf. Process. 5(2) (2007) 241. Link, Web of Science, Google Scholar
29. S. Chen, Y. Wang and C. Cattani, Math. Probl. Eng. 2012 (2012) 856523. Google Scholar
30. A. R. Seadawy, Appl. Math. Lett. 25 (2017) 687. Web of Science, Google Scholar
31. M. H. Heydari, M. R. Hooshmandasl, F. M. M. Ghaini and C. Cattani, Appl. Math. Comput. 286 (2016) 139. Web of Science, Google Scholar
32. A. R. Seadawy, Comput. Math. Appl. 67 (2014) 172. Web of Science, Google Scholar
33. A. M. Yang, Y. Z. Zhang, C. Cattani, G. N. Xie, M. M. Rashidi, Y. J. Zhou and X. J. Yang, Abstr. Appl. Anal. 2014 (2014) 372741. Google Scholar
34. Z. Zhao, L. He and Y. Gao, Complexity 2019 (2019) 8249635. Google Scholar
35. C. Cattani, Math. Comput. Model. 39(2–3) (2004) 255. Web of Science, Google Scholar
36. A. Cordero, J. P. Jaiswal and J. R. Torregrosa, Appl. Math. Nonlinear Sci. 4(1) (2019) 43. Google Scholar
37. L. D. Moleleki, T. Motsepa and C. M. Khalique, Appl. Math. Nonlinear Sci. 3(2) (2018) 459. Google Scholar
38. Z. Zhao and L. He, Appl. Math. Lett. 95 (2019) 114. Web of Science, Google Scholar
39. H. M. Baskonus, H. Bulut and T. A. Sulaiman, Appl. Math. Nonlinear Sci. 4(1) (2019) 141. Google Scholar
40. M. Dewasurendra and K. Vajravelu, Appl. Math. Nonlinear Sci. 3(1) (2018) 1. Google Scholar
41. C. Cattani, M. Scalia, E. Laserra, T. Bochicchio and K. K. Nandi, Phys. Rev. D : Part. Fields Gravit. Cosmol. 87(4) (2013) 047503. Web of Science, ADS, Google Scholar
42. C. M. Khalique and I. E. Mhlanga, Appl. Math. Nonlinear Sci. 3(1) (2018) 241. Google Scholar
43. W. X. Ma, Phys. Lett. A 379(36) (2015) 1975. Web of Science, ADS, Google Scholar
44. J. J. Rushchitsky, C. Cattani and E. V. Terletskaya, Int. Appl. Mech. 40(3) (2004) 311. Web of Science, Google Scholar
45. L. Maire, Appl. Math. Nonlinear Sci. 2(1) (2017) 249. Google Scholar
46. C. Cattani and Ya. Ya. Rushchitskii, Int. Appl. Mech. 39(12) (2003) 1361. Web of Science, Google Scholar
47. S. Wang, Y. Li, Y. Shao, C. Cattani, Y. D. Zhang and S. Du, CNS and Neurol. Disord. Drug Targets 16(2) (2017) 116. Web of Science, Google Scholar
48. E. I. Eskitascioglu, M. B. Aktas and H. M. Baskonus, Appl. Math. Nonlinear Sci. 4(1) (2019) 105. Google Scholar
49. C. Cattani, Comput. Math. Methods M. 2012 (2012) 673934. Google Scholar
50. Z. Zhao and B. Han, Nonlinear Dynam. 94(1) (2018) 461. Web of Science, Google Scholar
51. W. X. Ma, Y. Zhou and R. Dougherty, Int. J. Mod. Phys. B 30 (2016) 1640018. Link, Web of Science, ADS, Google Scholar
52. C. Cattani and Ya. Ya. Rushchitskii, Int. Appl. Mech. 4(12) (2005) 1368. Web of Science, Google Scholar