A study of higher order terms in shallow water waves via modified PLK method
Yükleniyor...
Tarih
2014-04
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 modified PLK (Poincare-Lighthill-Kou) method, we studied the propagation of weakly nonlinear waves in a shallow water theory and obtained the Korteweg-deVries (KdV) and the linearized KdV equations with non-homogeneous term as the governing equations of various order terms in the perturbation expansion. The result obtained here is exactly the same with that of Kodama and Taniuti [6], who employed the so-called "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 Demiray [12], wherein the modified reductive perturbation method had been utilized.
Açıklama
Anahtar Kelimeler
Shallow water waves, Modified PLK method, Solitary waves, Reductive perturbation method, Ion-acoustic-waves, Korteweg-de Vries equation, Solitons, Water waves
Kaynak
International Journal of Nonlinear Sciences and Numerical Simulation
WoS Q DeÄŸeri
Q2
Scopus Q DeÄŸeri
Q2
Cilt
15
Sayı
2
Künye
Demiray, H. (2014). A study of higher order terms in shallow water waves via modified PLK method. International Journal of Nonlinear Sciences and Numerical Simulation, 15(2), 129-134. doi:10.1515/ijnsns-2013-0003
