An analysis of higher order terms for ion-acoustic waves by use of the modified Poincaré-Lighthill-Kuo method

Hilmi Demiray ()
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Hilmi Demiray: Isik University

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 5, 669-678

Abstract: Abstract In this work, by utilizing the modified Poincaré-Lighthill-Kuo (PLK) method, we studied the propagation of weakly nonlinear waves in a collisionless cold plasma and obtained the governing evolution equations of various order terms in the perturbation expansion. Seeking a progressive wave solution to these evolution equations we obtained the speed correction terms so as to remove some possible secularities. The result obtained here is exactly the same with those of the modified reductive perturbation and re-normalization methods. The method presented here is quite simple and based on introducing a new set of stretched coordinates.

Keywords: Ion-acoustic cold plasma; modified PLK method; solitary waves (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0131-x

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