This research paper is dedicated to the investigation of the optical soliton solutions with the power law of self-phase modulation (SPM) and the third-order dispersion (TOD), completely neglecting the chromatic dispersion (CD). The aim is focused on two main points. First, obtaining the straddled soliton solution which permits us to have bright and singular soliton by applying the new Kudryashov (nKM) scheme which was recently introduced as a simple, effective, and reliable method. Second, to observe the influences of the TOD, SPM, and inter-modal dispersion (IMD) on pure-cubic optical soliton dynamics in the absence of the CD.

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References

1. N. A. Kudryashov , Optik 259 (2022) 168975, https://doi.org/10.1016/j.ijleo.2022.168975. Crossref, Web of Science, Google Scholar
2. Y. Yıldırım, A. Biswas, M. Ekici, O. Gonzalez-Gaxiola, S. Khan, H. Triki, L. Moraru, A. K. Alzahrani and M. R. Belic , Chin. J. Phys. 66 (2020) 660, https://doi.org/10.1016/j.cjph.2020.06.005. Crossref, Web of Science, ADS, Google Scholar
3. M.-Y. Wang, A. Biswas, Y. Yıldırım, L. Moraru, S. Moldovanu and A. A. Alghamdi , Electronics 12 (2023) 331, https://doi.org/10.3390/electronics12020331. Crossref, Web of Science, Google Scholar
4. A. H. Arnous and L. Moraru , Mathematics 10 (2022) 3456, https://doi.org/10.3390/math10193456. Crossref, Web of Science, Google Scholar
5. Y. Fang, W.-B. Bo, R.-R. Wang, Y.-Y. Wang and C.-Q. Dai , Chaos Solitons Fractals 165(Pt. 1) (2022) 112908, https://doi.org/10.1016/j.chaos.2022.112908. Crossref, Web of Science, Google Scholar
6. N. A. Kudryashov , Regul. Chaotic Dyn. 27 (2022) 680, https://doi.org/10.1134/S1560354722060065. Crossref, Web of Science, ADS, Google Scholar
7. N. A. Kudryashov , Optik 274 (2023) 170587, https://doi.org/10.1016/j.ijleo.2023.170587. Crossref, Web of Science, Google Scholar
8. N. A. Kudryashov , Optik 272 (2023) 170365, https://doi.org/10.1016/j.ijleo.2022.170365. Crossref, Web of Science, Google Scholar
9. N. A. Kudryashov , Appl. Math. Lett. 138 (2023) 108519, https://doi.org/10.1016/j.aml.2022.108519. Crossref, Web of Science, Google Scholar
10. N. A. Kudryashov , Optik 270 (2022) 170057, https://doi.org/10.1016/j.ijleo.2022.170057. Crossref, Web of Science, Google Scholar
11. S. K. Turitsyn, V. K. Mezentsev and E. G. Shapiro , Opt. Fiber Technol. 4(4) (1998) 384, https://doi.org/10.1006/ofte.1998.0271. Crossref, Web of Science, ADS, Google Scholar
12. S. K. Turitsyn, E. G. Shapiro, S. B. Medvedev, M. P. Fedoruk and V. K. Mezentsev , Comptes Rendus Phys. 4(1) (2003) 145, https://doi.org/10.1016/S1631-0705(3)00008-2. Crossref, Web of Science, ADS, Google Scholar
13. A. Biswas, D. Milovic and M. Edwards , Mathematical Theory of Dispersion-Managed Optical Solitons ( Springer-Verlag Berlin and Heidelberg GmbH & Co., Berlin, Germany, 2010). Crossref, Google Scholar
14. A. Biswas and S. Konar , Prog. Electromagn. Res. 50 (2005) 83, https://doi.org/10.2528/PIER04051301. Crossref, Web of Science, Google Scholar
15. G. Keiser , Nonlinear processes in optical fibers, in Fiber Optic Communications ( Springer, Singapore, 2005), pp. 477–506, https://doi.org/10.1007/978-981-33-4665-9_12. Google Scholar
16. H. A. Haus and W. S. Wong , Rev. Mod. Phys. 68 (1996) 423. Crossref, Web of Science, ADS, Google Scholar
17. G. Zhou, R. Kumar, Q. Wu, W. P. Ng, R. Binns, N. Lalam, X. Miao, L. Niu, X. Yuan, Y. Semenova, G. Farrell, J. Yuan, C. Yu, X. Sang, X. Xin, B. Liu, H. Lv and Y. Q. Fu, Sci. Rep. 8 (2018) 11803, https://doi.org/10.1038/s41598-018-30213-2. Crossref, Web of Science, ADS, Google Scholar
18. A. M. Yalci and M. Ekici , Opt. Quantum Electron. 54 (2022) 167, https://doi.org/10.1007/s11082-022-03557-3. Crossref, Web of Science, Google Scholar
19. T. Han, Z. Li, C. Li and L. Zhao, J. Opt. 52 (2023) 831–844, https://doi.org/10.1007/s12596-022-01041-5. Crossref, Google Scholar
20. A. Adem, B. Ntsime, A. Biswas, S. Khan, A. K. Alzahrani and M. Belić , Ukr. J. Phys. Opt. 22 (2021) 83, https://doi.org/10.3116/16091833/22/2/83/2021. Crossref, Web of Science, Google Scholar
21. A. F. J. Runge, D. D. Hudson, C. M. de Sterke and A. Blanco-Redondo , Pure-quartic solitons from a dispersion managed fibre laser, Conf. Lasers and Electro-Optics Europe & European Quantum Electronics Conf. (CLEO/Europe-EQEC) (Munich, Germany, 2019), pp. 1–1, https://doi.org/10.1109/CLEOE-EQEC.2019.8872276. Crossref, Google Scholar
22. K. K. K. Tam, T. J. Alexander, A. Blanco-Redondo and C. Martijn de Sterke , Opt. Lett. 44 (2019) 3306. Crossref, Web of Science, ADS, Google Scholar
23. B.-R. Andrea, C. Sterke, S. John, K. Thomas, E. Benjamin and H. Chad , Nat. Commun. 7 (2016) 10427, https://doi.org/10.1038/ncomms10427. Crossref, Web of Science, Google Scholar
24. A. F. J. Runge, D. D. Hudson, K. K. K. Tam, C. M. D. Sterke and A. B. Redondo , Nat. Photonics 14 (2020) 492, https://doi.org/10.1038/s41566-020-0629-6. Crossref, Web of Science, Google Scholar
25. L. Li, H. Huang, L. Su, D. Shen, D. Tang, M. Klimczak and L. Zhao , Appl. Opt. 58 (2019) 2745, https://doi.org/10.1364/AO.58.002745. Crossref, Web of Science, ADS, Google Scholar
26. X. Hu, J. Guo, J. Wang, J. Ma, L. Zhao, S. Yoo and D. Tang , Light Sci Appl. 12(1) (2023) 38, https://doi.org/10.1038/s41377-023-01074-w. Crossref, Web of Science, Google Scholar
27. X. Hu, J. Guo, L. M. Zhao, J. Ma and D. Y. Tang , Opt. Lett. 46(5) (2021) 1105, https://doi.org/10.1364/OL.420012. PMID: 33649668. Crossref, Web of Science, ADS, Google Scholar
28. E. M. E. Zayed, M. E. M. Alngar, A. Biswas, M. Asma, M. Ekici, A. Kamis Alzahrani and M. R. Belic , Optik 223 (2020) 165445, https://doi.org/10.1016/j.ijleo.2020.165445. Crossref, Web of Science, ADS, Google Scholar
29. K. K. Kaltham, K. S. Al-Ghafri, E. V. Krishnan and A. Biswas , Optik 243 (2021) 167404, https://doi.org/10.1016/j.ijleo.2021.167404. Crossref, Web of Science, Google Scholar
30. J. Zeng, J. Dai, W. Hu and D. Lu , Appl. Math. Lett. 129 (2022) 107923, https://doi.org/10.1016/j.aml.2022.107923. Crossref, Web of Science, Google Scholar
31. C. Martijn de Sterke, A. F. J. Runge, D. D. Hudson and A. Blanco-Redondo, APL Photonics 6 (2021) 091101, https://doi.org/10.1063/5.0059525. Crossref, Web of Science, Google Scholar
32. C.-W. Lo, A. Stefani, C. Martijn de Sterke and A. Blanco-Redondo , Opt. Express 26 7786 (2018). Crossref, Web of Science, ADS, Google Scholar
33. J. Widjaja, E. Kobakhidze, T. R. Cartwright, J. P. Lourdesamy, A. F. J. Runge, T. J. Alexander and C. Martijn de Sterke , Phys. Rev. A 104 (2021) 043526. Crossref, Web of Science, ADS, Google Scholar
34. K. Tam, T. Alexander, A. Blanco-Redondo and C. Martijn de Sterke , Opt. Lett. 44 (2019) 3306, https://doi.org/10.1364/OL.44.003306. Crossref, Web of Science, ADS, Google Scholar
35. T. J. Alexander, G. A. Tsolias, A. Demirkaya, R. J. Decker, C. Martijn de Sterke and P. G. Kevrekidis , Opt. Lett. 47 (2022) 1174. Crossref, Web of Science, ADS, Google Scholar
36. S. Malik and S. Kumar , Optik 258 (2022) 168865, https://doi.org/10.1016/j.ijleo.2022.168865. Crossref, Web of Science, Google Scholar
37. J. He, L. Wang, L. Li, K. Porsezian and R. Erdélyi , Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 89 (2014). https://doi.org/10.1103/PhysRevE.89.062917. Web of Science, Google Scholar
38. D. Lu, A. R. Seadawy, J. Wang, M. Arshad and U. Farooq, Pramana — J. Phys. 93 (2019) 44, https://doi.org/10.1007/s12043-019-1804-5. Crossref, Web of Science, ADS, Google Scholar
39. W. B. Rabie, A. R. Seadawy and H. M. Ahmed , Optik 241 (2021) 167109, https://doi.org/10.1016/j.ijleo.2021.167109. Crossref, Web of Science, Google Scholar
40. E. M. E. Zayed and M. E. M. Alngar , Math. Methods Appl. Sci. 44(1) (2021) 315, https://doi.org/10.1002/mma.6736. Crossref, Web of Science, Google Scholar
41. N. A. Kudryashov , Optik 206 (2020) 163550, https://doi.org/10.1016/j.ijleo.2019.163550. Crossref, Web of Science, ADS, Google Scholar
42. S. Kumar, A. Biswas, Q. Zhou, Y. Yildirim, H. M. Alshehri and M. R. Belic , Phys. Lett. A 417 (2021) 127706, https://doi.org/10.1016/j.physleta.2021.127706. Crossref, Web of Science, Google Scholar