Skip to main content
Log in

An explicit plethora of different classes of interactive lump solutions for an extension form of 3D-Jimbo–Miwa model

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

A versatile integration gadget namely the Hirota bilinear (HB) technique is devoted to retrieving different categories of interactive lump solutions of an extension form to the 3D-Jimbo–Miwa (3D-JM) model with exponential and hyperbolic functions under some specific constraint conditions. The article studies the dynamics for these acquired solutions through 3D figures by selecting adequate measurable factors.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. C.J. Wang, Z.D. Dai, G. Mu, S.Q. Lin, Commun. Theor. Phys. 52, 862 (2009)

    ADS  Google Scholar 

  2. M. Wang, B. Tian, Y. Sun, Z. Zhang, Comput. Math. Appl. 79, 576 (2020)

    MathSciNet  Google Scholar 

  3. H.M. Yin, B. Tian, X.C. Zhao, Appl. Math. Comput. 368, 124768 (2020)

    MathSciNet  Google Scholar 

  4. M.S. Osman, Nonlinear Dyn. 87, 1209 (2017)

    Google Scholar 

  5. O.A. Arqub, M. Al-Smadi, Phys. A 540, 123257 (2020)

    MathSciNet  Google Scholar 

  6. M.S. Osman, B. Ghanbari, J.A.T. Machado, Eur. Phys. J. Plus 134, 20 (2019)

    Google Scholar 

  7. O.A. Arqub, N. Shawagfeh, J. Porous Media 22, 411 (2019)

    Google Scholar 

  8. S.S. Chen, B. Tian, Y. Sun, C.R. Zhang, Ann. Phys. 531, 1900011 (2019)

    MathSciNet  Google Scholar 

  9. C.C. Hu, B. Tian, H.M. Yin, C.R. Zhang, Z. Zhang, Comput. Math. Appl. 78, 166 (2019)

    MathSciNet  Google Scholar 

  10. B. Ghanbari, M. Inc, L. Rada, J. Appl. Anal. Comput. 9, 568 (2019)

    MathSciNet  Google Scholar 

  11. O.Abu Arqub, Fundam. Inform. 166, 87 (2019)

    MathSciNet  Google Scholar 

  12. Z. Du, B. Tian, H.P. Chai, X.H. Zhao, Appl. Math. Lett. 102, 106110 (2020)

    MathSciNet  Google Scholar 

  13. O.A. Arqub, Calcolo 55, 31 (2018)

    Google Scholar 

  14. B. Ghanbari, M.S. Osman, D. Baleanu, Mod. Phys. Lett. A 34, 1950155 (2019)

    ADS  Google Scholar 

  15. M.S. Osman, D. Lu, M.M. Khater, Results Phys. 13, 102157 (2019)

    Google Scholar 

  16. X.X. Du, B. Tian, Q.X. Qu, Y.Q. Yuan, X.H. Zhao, Chaos Soliton. Fract. 134, 109709 (2020)

    ADS  Google Scholar 

  17. H. Rezazadeh, M.S. Osman, M. Eslami, M. Mirzazadeh, Q. Zhou, S.A. Badri, A. Korkmaz, Nonlinear Eng. 8, 224 (2019)

    ADS  Google Scholar 

  18. C.R. Zhang, B. Tian, Q.X. Qu, L. Liu, H.Y. Tian, Z. Angew, Math. Phys. 71, 18 (2020)

    Google Scholar 

  19. M.S. Osman, Pramana 93, 26 (2019)

    ADS  Google Scholar 

  20. X.Y. Gao, Appl. Math. Lett. 91, 165 (2019)

    MathSciNet  Google Scholar 

  21. X.Y. Gao, Y.J. Guo, W.R. Shan, Appl. Math. Lett. 104, 106170 (2020)

    MathSciNet  Google Scholar 

  22. A.M. Wazwaz, Chaos. Soliton. Fract. 76, 93 (2015)

    ADS  Google Scholar 

  23. A.W. Wazwaz, Appl. Math. Lett. 31, 41 (2014)

    MathSciNet  Google Scholar 

  24. W.X. Ma, Z. Zhu, Appl. Math. Comput. 218, 11871 (2012)

    MathSciNet  Google Scholar 

  25. M.F. El-Sabbagh, A.T. Ali, Commun. Theor. Phys. 56, 611 (2011)

    Google Scholar 

  26. Z.D. Dai, S.Q. Lin, H.M. Fu, X.P. Zeng, Appl. Math. Comput. 216, 1599 (2010)

    MathSciNet  Google Scholar 

  27. X.P. Zeng, Z.D. Dai, D.L. Li, Chaos. Soliton. Fract. 42, 657 (2009)

    ADS  Google Scholar 

  28. M.S. Osman, A.M. Wazwaz, Math. Methods Appl. Sci. 42, 6277 (2019)

    ADS  MathSciNet  Google Scholar 

  29. M.S. Osman, Nonlinear Dyn. 96, 1491 (2019)

    Google Scholar 

  30. A. Javid, N. Raza, M.S. Osman, Commun. Theor. Phys. 71, 362 (2019)

    ADS  Google Scholar 

  31. M.S. Osman, Waves Random Complex 26, 434 (2016)

    ADS  Google Scholar 

  32. M.S. Osman, Open Phys. 14, 26 (2016)

    ADS  Google Scholar 

  33. K.A. Gorshkov, D.E. Pelinovsky, Y.A. Stepanyants, JETP 77, 237 (1993)

    ADS  Google Scholar 

  34. S.V. Manakov, V.E. Zakhorov, L.A. Bordag, A.R. Its, V.B. Matveev, Phys. Lett. A 63, 205 (1977)

    ADS  Google Scholar 

  35. C.H. He, Y.N. Tang, J.L. Ma, Comput. Math. Appl. 76, 2141 (2018)

    MathSciNet  Google Scholar 

  36. J.Y. Yang, W.X. Ma, Comput. Math. Appl. 73, 220 (2017)

    MathSciNet  Google Scholar 

  37. J.B. Zhang, W.X. Ma, Comput. Math. Appl. 74, 591 (2017)

    MathSciNet  Google Scholar 

  38. L.L. Huang, Y. Chen, Commun. Theor. Phys. 67, 473 (2017)

    ADS  Google Scholar 

  39. J.P. Yu, Y.L. Sun, Nonlinear Dyn. 87, 1 (2016)

    Google Scholar 

  40. W. Tan, Z.D. Dai, Nonlinear Dyn. 89, 2723 (2017)

    Google Scholar 

  41. C.J. Wang, Nonlinear Dyn. 87, 2635 (2017)

    Google Scholar 

  42. X. Lü, S.T. Chen, W.X. Ma, Nonlinear Dyn. 86, 1 (2016)

    Google Scholar 

  43. H.Q. Zhao, W.X. Ma, Comput. Math. Appl. 74, 1399 (2017)

    MathSciNet  Google Scholar 

  44. H.Q. Zhang, W.X. Ma, Nonlinear Dyn. 87, 2305 (2017)

    Google Scholar 

  45. L.N. Gao, X.Y. Zhao, Y.Y. Zi, J. Yu, X. Lü, Comput. Math. Appl. 72, 1225 (2016)

    MathSciNet  Google Scholar 

  46. Z. Lü, Y. Chen, Eur. Phys. J. B 88, 187 (2015)

    ADS  Google Scholar 

  47. W.X. Ma, Int. J. Nonlinear Sci. Num. 17, 355 (2016)

    Google Scholar 

  48. X.E. Zhao, Y. Chen, Commun. Nonlinear. Sci. Numer. Simulat. 52, 24 (2017)

    ADS  Google Scholar 

  49. W.X. Ma, A. Abdeljabbar, Appl. Math. Lett. 25, 1500 (2012)

    MathSciNet  Google Scholar 

  50. F.H. Qi, Y.H. Huang, P. Wang, Appl. Math. Lett. 100, 106004 (2020)

    MathSciNet  Google Scholar 

  51. J.G. Liu, J.Q. Du, Z.F. Zeng, G.P. Ai, Chaos. 26, 989 (2016)

    Google Scholar 

  52. J.B. Li, Y. Zhou, Qual. Theor. Dyn. Syst. 18, 183 (2019)

    Google Scholar 

  53. Y.H. Yin, W.X. Ma, J.G. Liu, X. Lü, Comput. Math. Appl. 76, 1275 (2018)

    MathSciNet  Google Scholar 

  54. Y.F. Hua, B.L. Guo, W.X. Ma, X. Lü, Appl. Math. Model. 74, 184 (2019)

    MathSciNet  Google Scholar 

  55. J. Manafian, Comput. Math. Appl. 76, 1246 (2018)

    MathSciNet  Google Scholar 

  56. A.M. Wazwaz, Appl. Math. Lett. 64, 21 (2017)

    MathSciNet  Google Scholar 

  57. M. Jimbo, T. Miwa, Publ. Res. I. Math. Sci. 19, 943 (1983)

    Google Scholar 

  58. G.F. Deng, Y.T. Gao, X.Y. Gao, Waves Random Complex 28, 468 (2018)

    ADS  Google Scholar 

  59. H.Q. Sun, A.H. Chen, Appl. Math. Lett. 68, 55 (2017)

    MathSciNet  Google Scholar 

  60. J.G. Liu, X.J. Yang, M.H. Cheng, Y.Y. Feng, Y.D. Wang, Comput. Math. Appl. 78, 1947 (2019)

    MathSciNet  Google Scholar 

  61. K.K. Ali, R.I. Nuruddeen, Results Phys. 9, 12 (2018)

    ADS  Google Scholar 

  62. H. Li, Y.Z. Li, Appl. Math. Comput. 333, 369 (2018)

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Wen-Hui Zhu, M. S. Osman or Wen-Xiu Ma.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest concerning the publication of this manuscript.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, JG., Zhu, WH., Osman, M.S. et al. An explicit plethora of different classes of interactive lump solutions for an extension form of 3D-Jimbo–Miwa model. Eur. Phys. J. Plus 135, 412 (2020). https://doi.org/10.1140/epjp/s13360-020-00405-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/s13360-020-00405-9

Navigation