Abstract
Theoretical investigation on the propagation of ion-acoustic waves in an unmagnetized self-gravitating plasma has been made for the existence of solitary waves using the reductive perturbation method. It is observed that nonlinear excitations follow a coupled third-order partial differential equation which is slightly different from the usual case of coupled Korteweg-de Vries (K-dV) system. It appears that the system so deduced is a two-component generalization of the previous one derived by Paul et al. (1999) in which it was shown that ion-acoustic solitary waves can not exist in such system.
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Paul, S.N., Roychowdhury, K., Burman, S. et al. On the existence of ion-acoustic solitary waves in a gravitating dusty plasma having charge fluctuation. Czech J Phys 56, 1453–1460 (2006). https://doi.org/10.1007/s10582-006-0458-y
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DOI: https://doi.org/10.1007/s10582-006-0458-y