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Damping of dark envelope soliton in a viscous bounded dusty plasma

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Abstract

The propagation of dust-acoustic waves in a dusty plasma bounded in finite symmetrical cylindrical geometry has been theoretically investigated. By using the reductive perturbation method, we obtain a quasi-nonlinear Schrödinger equation. It is shown that there is a dark envelope soliton under certain conditions, while its amplitude will decrease with the time. The dependence of both the dispersion relation and group velocity of envelope solitary waves on the radius of cylinder has been given. Moreover, we define the duration time of dark envelope solitons and give the theoretical ones. It is found that the duration time increases as the radius of cylinder increases, while it decreases as the viscosity coefficient of dusty plasmas increases.

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References

  1. E C Whipple, T G Northrop and D A Mendis J. Geophys. Res. 90 7405 (1985).

    Article  ADS  Google Scholar 

  2. H L F Houpis and E C Whipple, J. Geophys. Res. 92 12057 (1987).

    Article  ADS  Google Scholar 

  3. R K Varma, P K Shukla and V Krishnan, Phys. Rev. E 47 3245 (1993).

    Article  Google Scholar 

  4. J X Ma and J Y Liu Phys. Plasmas 4 253 (1997)

    Article  ADS  Google Scholar 

  5. Y N Nejoh Phys. Plasmas 4 2813 (1997)

    Article  ADS  Google Scholar 

  6. B S Xie, K F He and Z Q Huang Phys. Lett. A 247 403( 1998)

    Article  ADS  Google Scholar 

  7. S Ghosh, S Sarkar, M Khan and M R Gupta Phys. Lett. A 274 162( 2000)

    Article  ADS  Google Scholar 

  8. M R Gupta, S Sarkar, S Ghosh, M Debnath and M Khan Phys. Rev. E 63 046406( 2001)

    Article  ADS  Google Scholar 

  9. S Ghosh, S Sarkar, M Khan and M R Gupta IEEE Trans. Plasma Sci. 29 409( 2001)

    Article  ADS  Google Scholar 

  10. S Ghosh, T K Chaudhuri, S Sarkar, M Khan and M R Gupta Phys. Rev. E 65 037401(2002)

    Article  ADS  Google Scholar 

  11. S Ghosh, S Sarkar, M Khan, K Avinash and M R Gupta Phys. Plasmas 10 977 (2003)

    Article  ADS  Google Scholar 

  12. S Ghosh, R Bharuthram, M Khan and M R Gupta Phys. Plasmas 11 3602 (2004)

    Article  ADS  Google Scholar 

  13. S Ghosh and M R Gupta Phys. Plasmas 12 092306 (2005)

    Article  ADS  Google Scholar 

  14. S Ghosh, S Sarkar, M Khan and M R Gupta Phys. Rev. E 84 066401( 2011)

    Article  ADS  Google Scholar 

  15. I Langmuir, C G Found and A F Dittmer Science 60 392 (1924)

    Article  ADS  Google Scholar 

  16. P K Shukla and A A Mamun Journal of Plasma Physics 68 237 (2002)

    Google Scholar 

  17. F Verheest Space Sci. Rev. 77 267 (1996)

    Article  ADS  Google Scholar 

  18. A Homann, A Melzer, S Peters and A Piel Phys. Rev. E 56 7138 (1997)

    Article  ADS  Google Scholar 

  19. J T Mendonca, A Serbeto, P K Shukla and L OSilva Phys. Lett. B 548 63 (2002)

    Article  ADS  Google Scholar 

  20. C K Goertz Rev. Geophys. 27 271 (1989)

    Article  ADS  Google Scholar 

  21. O Havnes, F Melandso, C La Hoz, T Aslaksen and T W Hartquist Phys. Scr. 45 535 (1992)

    Article  ADS  Google Scholar 

  22. F Verheest, V V Yaroshenko and M A Hellberg Phys. Plasmas 9 2479 (2004)

    Article  ADS  Google Scholar 

  23. M S Sodha and S Guha Adv. Plasma Phys. 4 219 (1971)

    ADS  Google Scholar 

  24. M Shahmansouri and H Alinejad Phys. Plasmas 19 123701 (2012)

    Article  ADS  Google Scholar 

  25. P K Shukla Phys. Plasmas 19 083704 (2012)

    Article  ADS  Google Scholar 

  26. M S Sodha, S Misra and S K Mishra Phys. Plasmas 16 123705 (2009)

    Article  ADS  Google Scholar 

  27. M Ishak-Boushaki, D Djellout and R Annou Phys. Plasmas 19 073707 (2012)

    Article  ADS  Google Scholar 

  28. A P Misra, N C Adhikary and P K Shukla Phys. Rev. E 86 056406 (2012)

    Article  ADS  Google Scholar 

  29. P K Shukla Phys. Plasmas 11 3676 (2004)

    Article  ADS  Google Scholar 

  30. B S Xie and M Y Yu Phys. Rev. E 62 8501 (2000)

    Article  ADS  Google Scholar 

  31. J X Ma, J Y Liu and M Y Yu Phys. Rev. E 55 4627 (1997)

    Article  ADS  Google Scholar 

  32. T V Losseva, S I Popel, M Y Yu and J X Ma Phys. Rev. E 75 046403 (2007)

    Article  ADS  Google Scholar 

  33. H Washimi and T Taninti Phys. Rev. Lett. 17 996 (1966)

    Article  ADS  Google Scholar 

  34. N N Rao, P K Shukla and M Y Yu Planet. Space Sci. 38 543 (1990)

    Article  ADS  Google Scholar 

  35. P K Shukla and V P Silin Phys. Scr. 45 508 (1992)

    Article  ADS  Google Scholar 

  36. P Chatterjee, U Chosh, K Roy, S V Muniandy, C S Wong and B Sahu Phys. Plasmas 17 122314 (2010)

    Article  ADS  Google Scholar 

  37. X Yang, C B Liu, Y Yang, Y R Shi, Y X Xu and D N Gao et al. Phys. Rev. E 87 063101 (2013)

    Article  ADS  Google Scholar 

  38. G Li, X Yang and W S Duan Phys. Plasmas 21 022118 (2014)

    Article  ADS  Google Scholar 

  39. W M Manheimer Phys. Fluids 12 2426 (1969)

    Article  ADS  Google Scholar 

  40. J J Rasmussen Plasma Phys. 20 997 (1978)

    Article  ADS  Google Scholar 

  41. N Hershkowitz and T Romesser Phys. Rev. Lett. 32 581 (1974)

    Article  ADS  Google Scholar 

  42. A Barkan, N DAngelo and R L Merlino Phys. Rev. Lett. 73 3093 (1994).

    Article  ADS  Google Scholar 

  43. P K Shukla and A A Mamun, Introduction to Dusty Plasma Physics, IOP Publishing Ltd 2002.

    Book  Google Scholar 

  44. V Nosenko and J Goree Phys. Rev. Lett. 93 155004(2004).

    Article  ADS  Google Scholar 

  45. A V Ivlev, V Steinberg, R Kompaneets, H Hofner, I Sidorenko and G E Morfill Phys. Rev. Lett. 98 145003(2007).

    Article  ADS  Google Scholar 

  46. M R Gupta, R Banerjee, L K Mandal, R Bhar, H C Pant, M Khan and M K Srivastava Indian J. Phys. 86 471 (2012).

    Article  ADS  Google Scholar 

  47. L C Zhao and J Liu Phys. Rev. E 87 013201 (2013)

    Article  ADS  Google Scholar 

  48. L C Zhao, G G Xin and Z Y Yang Phys. Rev. E 90 022918 (2014)

    Article  ADS  Google Scholar 

  49. L C Zhao and L M Ling J. Opt. Soc. Am. B. 33 850 (2016)

    Article  ADS  Google Scholar 

  50. H S Du, M M Lin, X Gong and W S Duan Phys. Plasmas 24 102131 (2017)

    Article  ADS  Google Scholar 

  51. H Zhang, X Qi, W S Duan and L Yang Sci. Rep. 5 14239 (2015)

    Article  ADS  Google Scholar 

  52. F P Wang, J F Han, J Zhang, D N Gao, Z Z Li and W S Duan et al. Phys. Plasmas 25032121(2018)

    Article  ADS  Google Scholar 

  53. M L Wang, X Z Li and J L Zhang Phys. Lett. A 372 417 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  54. H Ikezi, R J Talor and D R Baker Phys. Rev. Lett. 25 11(1970)

    Article  ADS  Google Scholar 

  55. M Q Tran Phys. Scr. 20 317 (1979)

    Article  ADS  Google Scholar 

  56. K E Lonngren Phys. Plasmas 25 943 (1983)

    Article  Google Scholar 

  57. Y Nakamura and I Tsukabayashi Phys. Rev. Lett. 52 2356(1984)

    Article  ADS  Google Scholar 

  58. Y Nakamura, J L Ferrira and G O Ludwig J. Plasma Phys. 33 237(1985)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11965019, 61863032, 11847142).

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Authors and Affiliations

  1. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou, 730070, China

    Lin Wei, Heng Zhang, Juan-Fang Han, Fang-Ping Wang, Yang Yang & Wen-Shan Duan

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  1. Lin Wei
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  2. Heng Zhang
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  3. Juan-Fang Han
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  4. Fang-Ping Wang
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  5. Yang Yang
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  6. Wen-Shan Duan
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Correspondence to Wen-Shan Duan.

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Wei, L., Zhang, H., Han, JF. et al. Damping of dark envelope soliton in a viscous bounded dusty plasma. Indian J Phys 96, 293–299 (2022). https://doi.org/10.1007/s12648-020-01965-3

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