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Dust acoustic solitary waves with superthermal electrons in cylindrical and spherical geometry

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Abstract

Dust acoustic solitary waves (DASWs) in an unmagnetized dusty plasma consisting of mobile dust particle, superthermal/non-Maxwellian electrons (represented by kappa distribution) and Boltzmann distributed ions are studied in the frame work of nonplanar geometry. Using reductive perturbation technique, the modified Korteweg–de Vries equation is derived. Numerically, the effects of spectral index kappa on the properties of DASWs in nonplanar geometry is discussed. It is found that the spectral index kappa changes the amplitude and width of the DASWs in nonplanar geometry significantly. The present investigation may be helpful in the understanding of the nonlinear propagation of waves in the pulsar’s magnetosphere.

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Acknowledgments

The research grant for research equipment from SAP DRS phase II is gratefully acknowledged.

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Authors and Affiliations

  1. Department of Mathematics, Siksha Bhavana, Visva Bharati, Santiniketan, 731 235, West Bengal, India

    D K Ghosh & P Chatterjee

  2. Dhaltikuri K N High School, Dhaltikuri, 731 129, Birbhum, West Bengal, India

    B Das

Authors
  1. D K Ghosh
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  2. P Chatterjee
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  3. B Das
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Correspondence to P Chatterjee.

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Ghosh, D.K., Chatterjee, P. & Das, B. Dust acoustic solitary waves with superthermal electrons in cylindrical and spherical geometry. Indian J Phys 86, 829–834 (2012). https://doi.org/10.1007/s12648-012-0137-8

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  • DOI: https://doi.org/10.1007/s12648-012-0137-8

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