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Effects of two-temperature electrons, external oblique magnetic field, and higher-order nonlinearity on dust acoustic solitary waves in a dusty plasma with vortex-like ion distribution

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Abstract

Nonlinear properties of the dust acoustic (DA) solitary waves in a dusty plasma consisting of negatively variable-charged dust particles, vortex-like distributed ions and two-temperature isothermal electrons are reported. A reductive perturbation theory has been used to derive a modified Korteweg-de Vries (mKdV) equation for the first-order perturbed potential and a linear inhomogeneous mKdV-type equation for the second-order perturbed potential. The renormalization method is used to obtain stationary solutions of these coupled equations. The modifications in the amplitude and width of the solitary wave structure due to the inclusion of two different types of isothermal electrons, external oblique magnetic field, higher-order nonlinearity, and vortex-like distributed ions are investigated. Also a method based on energy consideration was used to obtain the stability condition. Moreover, the numerical results are applied to investigate some nonlinear characteristics of the DA solitary waves.

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References

  • Bouchoule, A.: Dusty Plasma Physics, Chemistry, and Technological Impacts in Plasma Processing. Wiley, New York (1999)

    Google Scholar 

  • El-Labany, S.K.: Contribution of higher-order nonlinearity to nonlinear ion-acoustic waves in a weakly relativistic warm plasma. Part 1. Isothermal case. J. Plasma Phys. 50, 495 (1993)

    Article  ADS  Google Scholar 

  • El-Labany, S.K., Moslem, W.M.: Higher order contribution to dust-acoustic waves in magnetized dusty plasmas. Phys. Scr. 65, 416 (2002)

    Article  MATH  ADS  Google Scholar 

  • El-Labany, S.K., Diab, A.M., El-Shamy, E.F.: Critical density solitary waves structure in a hot dusty plasma with vortex-like ion distribution in phase space. Astrophys. Space Sci. 282, 595 (2002)

    Article  ADS  Google Scholar 

  • El-Labany, S.K., El-Shamy, E.F.: Critical density solitary waves structure in a hot magnetized dusty plasma with vortex-like ion distribution in phase space. Phys. Plasmas 12, 42301 (2005)

    Article  Google Scholar 

  • El-Labany, S.K., Moslem, W.M., Safy, F.M.: Effects of two-temperature ions, magnetic field, and higher-order nonlinearity on the existence and stability of dust-acoustic solitary waves in Saturn’s F ring. Phys. Plasmas 13, 082903 (2006)

    Article  ADS  Google Scholar 

  • El-Labany, S.K., El-Shamy, E.F., El-Taibany, W.F., Moslem, W.M.: Dust-acoustic solitary waves in a two-temperature electrons with charge fluctuations and nonisothermal ions. Chaos Solitons & Fractals 34, 1393 (2007)

    Article  Google Scholar 

  • Ghosh, S., Sarkar, S., Khan, M., Gupta, M.R.: Nonlinear properties of small amplitude dust ion acoustic solitary waves. Phys. Plasmas 7, 3594 (2000)

    Article  ADS  Google Scholar 

  • Ghosh, S., Sarkar, S., Khan, M., Gupta, M.R.: Small amplitude nonlinear dust ion acoustic waves in a magnetized dusty plasma with charged fluctuation. Phys. Scr. 63, 395 (2001)

    Article  MATH  ADS  Google Scholar 

  • Kakati, M., Goswami, K.S.: Solitary wave structures in presence of nonisothermal ions in a dusty plasma. Phys. Plasmas 5, 4508 (1998)

    Article  ADS  Google Scholar 

  • Kodama, Y., Taniuti, T.: Higher order approximation in the reductive perturbation method. I. The weakly dispersive system. J. Phys. Soc. Jpn. 45, 298 (1978)

    Article  ADS  MathSciNet  Google Scholar 

  • Lai, C.S.: Effect of higher- order contribution and of ion temperature on ion-acoustic solitary waves. Can. J. Phys. 57, 490 (1979)

    ADS  Google Scholar 

  • Mamun, A.A.: Nonlinear propagation of dust-acoustic waves in a magnetized dusty plasma with vortex-like ion distribution. J. Plasma Phys. 59, 575 (1997)

    Article  ADS  Google Scholar 

  • Mamun, A.A., Cairns, R.A., Shukla, P.K.: Effects of vortex-like and non-thermal ion distributions on non-linear dust-acoustic waves. Phys. Plasmas 3, 2610 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  • Mendis, D.A.: Progress in the study of dusty plasmas. Plasma Sources Sci. Technol. 11, A219 (2002)

    Article  ADS  Google Scholar 

  • Moslem, W.M., El-Taibany, W.F.: Effect of two-temperature trapped electrons to nonlinear dust-ion-acoustic solitons. Phys. Plasmas 12, 122309 (2005)

    Article  ADS  Google Scholar 

  • Rao, N.N., Shukla, P.K., Yu, M.Y.: Dust-acoustic waves in dusty plasmas. Planet. Space Sci. 38, 543 (1990)

    Article  ADS  Google Scholar 

  • Wen-Shan, D.: Stability of dust acoustic waves in weakly two-dimensional dust plasma with vortex-like ion distribution. Chin. Phys. Lett. 19, 452 (2002)

    Article  ADS  Google Scholar 

  • Xie, B., He, K., Huang, Z.: Effect of adiabatic variation of dust charges on dust-acoustic solitary waves. Phys. Lett. A 247, 403 (1998)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Theoretical Physics Group, Department of Physics, Faculty of Science, Mansoura University, Damietta El-Gedida, 34517, Egypt

    S. K. El-Labany, E. F. El-Shamy & S. A. El-Warraki

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  1. S. K. El-Labany
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  2. E. F. El-Shamy
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  3. S. A. El-Warraki
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Correspondence to E. F. El-Shamy.

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El-Labany, S.K., El-Shamy, E.F. & El-Warraki, S.A. Effects of two-temperature electrons, external oblique magnetic field, and higher-order nonlinearity on dust acoustic solitary waves in a dusty plasma with vortex-like ion distribution. Astrophys Space Sci 315, 287–295 (2008). https://doi.org/10.1007/s10509-008-9829-0

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  • DOI: https://doi.org/10.1007/s10509-008-9829-0

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