The modified reductive perturbation method as applied to Boussinesq equation: strongly dispersive case
Yükleniyor...
Dosyalar
Tarih
2005-05-05
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, we extended the application of "the modified reductive perturbation method" to Boussinesq equation for strongly dispersive case and tried to obtain the contribution of higher order terms in the perturbation expansion. It is shown that the first order term in the perturbation expansion is governed by the non-linear Schrodinger equation and the second order term is governed by the linearized Schrodinger equation with a non-homogeneous term. In the long-wave limit, a travelling wave type of solution to these equations is also given.
Açıklama
Anahtar Kelimeler
Higher-order terms, Solitary waves, Algebra, Differential equations, Differential equations, Harmonic analysis, Nonlinear equations, Parameter estimation, Cold plasma, Elastic tubes, Korteweg-de Vries (KdV) equation, Non-homogeneous terms, Perturbation techniques
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
164
Sayı
1
Künye
Demiray, H. (2005). The modified reductive perturbation method as applied to boussinesq equation: Strongly dispersive case. Applied Mathematics and Computation, 164(1), 1-9. doi:10.1016/j.amc.2004.06.076
