An application of the modified reductive perturbation method to a generalized boussinesq equation
Yükleniyor...
Dosyalar
Tarih
2013-02
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter GMBH
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this work, we apply "the modified reductive perturbation method" to the generalized Boussinesq equation and obtain various form of generalized KdV equations as the evolution equations. Seeking a localized travelling wave solutions for these evolution equations we determine the scale parameters g(1) and g(2), which corresponds to the correction terms in the wave speed, so as to remove the possible secularities that might occur. Depending on the sign and the values of certain parameters the resulting solutions are shown to be a solitary wave or a periodic solution. The suitability of the method is also shown by comparing the results with the exact travelling wave solution for the generalized Boussinesq equation.
Açıklama
Anahtar Kelimeler
Modified reductive perturbation method, Generalized boussinesq equation, Generalized KdV equations, Higher-order terms, Solitary waves, Elastic tubes, 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
1
Künye
Demiray, H. (2013). An application of the modified reductive perturbation method to a generalized boussinesq equation. International Journal of Nonlinear Sciences and Numerical Simulation, 14(1), 27-31. doi:10.1515/ijnsns-2011-0088
