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Some new dispersive dromions and integrability analysis for the Davey–Stewartson (DS-II) model in fluid dynamics

Urooj Akram

Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan

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Aly. R. Seadawy

Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

E-mail Address: aly742001@gmail.com

Corresponding author.

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Syed T. R. Rizvi

Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan

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Muhammad Younis

Department of Computer Science, University of the Punjab, Lahore, Pakistan

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, and

Ali Althobaiti

Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

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https://doi.org/10.1142/S0217984921505394Cited by:5 (Source: Crossref)

Abstract

This paper focuses on the Davey–Stewartson (DS)-II equation, and the extended modified auxiliary equation mapping (EMAEM) architectonic is used to develop a new set of solutions such as kink, singular kink, rational, combined soliton-like solutions, bell-type solutions, trigonometric and hyperbolic solutions. Furthermore, this study reveals that the used technique is efficient for solving other nonlinear evolution equations (NLEEs). The Painleve test ( $P$ $P$ -test) will also be used to examine the integrability of the DS-II equation. Finally, graphical simulations are designed to show the exact behavior of solutions as well as the efficacy of the suggested strategy.

Keywords:

References

1. A. R. Seadawy, Eur. Phys. J. Plus 132 (2017) 518. Crossref, Web of Science, Google Scholar
2. S. Claixia and G. Boling, Acta Math. Sci. 28 (2008) 117. Crossref, Web of Science, Google Scholar
3. W. H. Zhang, H. W. Yang and D. Z. Gao, Math. Model. Appl. 4 (2020) 66 (in Chinese). Google Scholar
4. J. Wang, R. Zhang and L. Yang, Appl. Math. Comput. 385 (2020) 125426. Crossref, Web of Science, Google Scholar
5. P. Zhang, Z. Xu, Q. Li, B. Yin, Y. Hou and A. K. Liu, Nonlinear Process. Geophys. 25 (2018) 441. Crossref, Web of Science, ADS, Google Scholar
6. D. Yu, Z.-G. Zhang, H.-H. Dong and H.-W. Yang, Commun. Theor. Phys. 73 (2021) 035005. Crossref, Web of Science, Google Scholar
7. R. Zhang, Q. Liu and L. Yang, Mod. Phys. Lett. B 33 (2019) 1950342. Link, Web of Science, ADS, Google Scholar
8. J. Wang, R. Zhang and L. Yang, Phys. Fluids 32 (2020) 096604. Crossref, Web of Science, Google Scholar
9. J. Zhang, R. Zhang, L. Yang, Q. Liu and L. Chen, Appl. Math. Comput. 408 (2021) 126347. Google Scholar
10. A. V. Porubov, Phys. Lett. A 221 (1996) 391. Crossref, Web of Science, ADS, Google Scholar
11. J. Weiss, M. Tabor and G. Carnevale, J. Math. Phys. 24 (1983) 522. Crossref, Web of Science, ADS, Google Scholar
12. E. Yasar, Appl. Math. Comput. 216 (2010) 3191. Web of Science, Google Scholar
13. E. Yasar, Y. Yldrm and A. R. Adem, Optics 158 (2018) 1. ADS, Google Scholar
14. Y. S. Ozkan, A. R. Seadawy and E. Yasar, Optik 227 (2021) 165392. Crossref, Web of Science, ADS, Google Scholar
15. N. Çelik, A. R. Seadawy, Y. S. Özkan and E. Yaar, Chaos Solitons Fract. 143 (2021) 110486. Crossref, Web of Science, Google Scholar
16. Y. G. Ozkan, E. Yaşar and A. Seadawy, J. Taibah Univ. Sci. 14 (2020) 585597. Crossref, Web of Science, Google Scholar
17. Y. G. Ozkan, E. Yaşar and A. Seadawy, Phys. Scr. 95 (2020) 085205. Crossref, Web of Science, Google Scholar
18. U. Younas, M. Younis, A. R. Seadawy, S. T. R. Rizvi, S. Althobaiti and S. Sayed, Res. Phys. 20 (2021) 103766. Google Scholar
19. U. Akram, A. R. Seadawy, S. T. R. Rizvi, M. Younis, S. Althobaiti and S. Sayed, Res. Phys. 20 (2021) 103725. Google Scholar
20. U. Younas, A. R. Seadawy, M. Younis and S. T. R. Rizvi, Chin. J. Phys. 68 (2020) 348. Crossref, Web of Science, Google Scholar
21. A. R. Seadawy, M. Iqbal and D. Lu, Pramana J. Phys. 93 (2019) 10. Crossref, Web of Science, ADS, Google Scholar
22. A. Ali, A. R. Seadawy and D. Lu, Adv. Differ. Equ. 2018 (2018) 232. Crossref, Web of Science, Google Scholar
23. I. Ahmed, A. R. Seadawy and D. Lu, Phys. Scr. 94 (2019) 055205. Crossref, Web of Science, Google Scholar
24. W. A. Li, H. Chen and G. Zhang, Chin. Phys. B. 18 (2009) 400409. ADS, Google Scholar
25. M. Y. Tang, R. Q. Wang and Z. J. Jing, Sci. China Ser. A 45 (2002) 1255. Crossref, Web of Science, Google Scholar
26. R. Hirota, Phys. Rev. Lett. 27 (1971) 1192. Crossref, Web of Science, ADS, Google Scholar
27. B. Q. Lu, Z. L. Pan, B. Z. Qu and X. F. Jiang, Phys. Lett. A 180 (1993) 61. Crossref, Web of Science, ADS, Google Scholar
28. M. M. Hassan, Chaos Solitons Fract. 19 (2004) 1201. Crossref, Web of Science, ADS, Google Scholar
29. K. Omrani, Appl. Math Comput. 180 (2006) 614. Web of Science, Google Scholar
30. A. R. Seadawy, M. Bilal, M. Younis, S. T. R. Rizvi, S. Althobaiti and M. M. Makhlouf, Chaos Solitons Fract. 144 (2021) 110669. Crossref, Web of Science, Google Scholar
31. A. R. Seadawy, S. U. Rehman, M. Younis, S. T. R. Rizvi, S. Althobaiti and M. M. Makhlouf, Phys. Scr. 96 (2021) 045202. Crossref, Web of Science, Google Scholar
32. A. R. Seadawy, S. T. R. Rizvi, S. Ahmad, M. Younis and D. Baleanue, Open Phys. 19 (2021) 1. Crossref, Web of Science, Google Scholar
33. N. Raza and M. A. Ullah, Can. J. Phys. 98 (2020) 89. Crossref, Web of Science, ADS, Google Scholar
34. A. Seadawy, D. Kumar, K. Hosseini and F. Samadani, Res. Phys. 9 (2018) 1631. Google Scholar
35. E. Yomba, Chin. J. Phys. 43 (2005) 789805. Google Scholar
36. N. Cheemaa, A. R. Seadawy and S. Chen, Eur. Phys. J. Plus 133 (2018) 547. Crossref, Web of Science, Google Scholar
37. S. Liu, Z. Fu, S. D. Liu and Q. Zhao, Phys. Lett. A 289 (2001) 69. Crossref, Web of Science, ADS, Google Scholar
38. N. Cheemaa, A. R. Seadawy and S. Chen, Eur. Phys. J. Plus 134 (2019) 117. Crossref, Web of Science, Google Scholar
39. A. R. Seadawy, A. Ali and W. A. Albarakati, Res. Phys. 15 (2019) 102775. Google Scholar
40. A. R. Seadawy and N. Cheemaa, Indian J. Phys. 94 (2020) 117126. Google Scholar
41. T. B. Benjamin, J. L. Bona and J. J. Mahony, Philos. Trans. Roy. Soc. London Ser. A 272 (1972) 47. Crossref, Web of Science, ADS, Google Scholar
42. T. B. Benjamin, in Lectures on Nonlinear Wave Motion, Lectures in Applied Mathematics, Vol. 15 (AMS, Providence, RI, 1974). Google Scholar
43. V. E. Zakharov and E. I. Schulman, Phys. D Nonlinear Phenom. 1 (1980) 185. Crossref, ADS, Google Scholar
44. A. Davey and K. Stewartson, Proc. R. Soc. A 338 (1974) 101. ADS, Google Scholar
45. C. Babaoglu, Chaos, Solitons Fract. 38 (2008) 48. Crossref, Web of Science, ADS, Google Scholar
46. K. W. Chow and S. Y. Lou, Chaos Solitons Fract. 27 (2006) 561. Crossref, Web of Science, ADS, Google Scholar
47. M. A. Abdou, Nonlinear Dyn. 52 (2008) 95. Crossref, Web of Science, Google Scholar
48. A. R. Seadawy and N. Cheemaa, Mod. Phys. Lett. B 33 (2019) 1950203. Link, Web of Science, ADS, Google Scholar
49. Y. Ohta and J. Yang, J. Phys. A Math. Theor. 46 (2013) 105202. Crossref, Web of Science, ADS, Google Scholar
50. G. Ebadi and A. Biswas, Math. Comput. Model. 53 (2011) 694. Crossref, Web of Science, Google Scholar
51. J. Rao, K. Porsezian and J. He, Chaos 27 (2017) 083115. Crossref, Web of Science, Google Scholar
52. G. Ebadia, E. V. Krishnanb, M. Labidic, E. Zerradd and A. Biswas, Waves Random Complex Media 21 (2011) 559. Crossref, Web of Science, ADS, Google Scholar
53. Y. Gurefe, E. Misirli, Y. Pandir, A. Sonmezoglu and M. Ekici, Bull. Malays. Math. Sci. Soc. 38 (2015) 1223. Crossref, Web of Science, Google Scholar
54. E. S. Selima, A. R. Seadawy and X. Yao, Eur. Phys. J. Plus 131(425) (2016). Google Scholar
55. B. Zhang, M. Xiong and L. Chen, J. Adv. Appl. Math. 4 (2019) 1. Google Scholar
56. C. Guo and S. Cui, Appl. Math. Comput. 215 (2009) 2262. Web of Science, Google Scholar
57. Z. Jun, B.-L. Guo and S.-F. Shen, Appl. Math. Mech. 26 (2005) 139. Crossref, Google Scholar
58. Y. Wang, J. Math. Anal. Appl. 367 (2010) 174. Crossref, Web of Science, Google Scholar
59. A. S. Fokas, Phys. D 44 (1990) 99. Crossref, Web of Science, ADS, Google Scholar
60. M. Rehab, E. Shiekh and M. Gaballah, J. Taibah Univ. Sci. 1 (2020) 783. Google Scholar