Extended reductive perturbation method and its relation to the re-normalization method
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Dosyalar
Tarih
2013-10-25
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter GMBH
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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
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
