Extended reductive perturbation method and its relation to the re-normalization method

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Tarih

2013-10-25

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Yayıncı

Walter De Gruyter GMBH

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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Özet

In this work, by utilizing the extended reductive perturbation method, we studied the propagation of weakly nonlinear waves in a collisionless cold plasma and formally obtained the governing evolution equations of various order terms in the perturbation expansion. The result obtained here is exactly the same with that of Kodama and Taniuti [5], who employed "so called'' the re-normalization method. 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 consistent with the results of Malfliet and Wieers [6], who employed the dressed solitary wave method and Demiray [7], who utilized the modified reductive perturbation method.

Açıklama

Anahtar Kelimeler

Ion-acoustic cold plasma, Extended reductive perturbation method, Solitary waves, Higher-Order Terms, Ion-Acoustic-Waves, Korteweg-de Vries equation, Solitons, Water waves

Kaynak

International Journal of Nonlinear Sciences and Numerical Simulation

WoS Q Değeri

Q2
Q2

Scopus Q Değeri

Q2

Cilt

14

Sayı

6

Künye

Demiray, H. (2013). Extended reductive perturbation method and its relation to the re-normalization method. International Journal of Nonlinear Sciences and Numerical Simulation, 14(6), 389-394. doi:10.1515/ijnsns-2011-0181