Modulation of generalized symmetric regularized long-wave equation: generalized nonlinear Schrödinger equation
Yükleniyor...
Dosyalar
Tarih
2010-12
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Freund Publishing House Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, the application of "the modified reductive perturbation method" is extended to the generalized symmetric regularized long-wave equation for strongly dispersive case and the contribution of higher order terms in the perturbation expansion is obtained. It is shown that the first order term in the perturbation expansion is governed by the generalized nonlinear Schrödinger quation whereas the second order term is governed by the generalized linear Schrödinger equation with a nonhomogeneous term. A travelling wave type of solution to these evolution equations is also given.
Açıklama
This work was partially supported by the Turkish Academy of Sciences (TUBA).
Anahtar Kelimeler
Dinger equation, Generalized symmetric regularized wave equation Generalized Nonlinear Schrödinger equation, Higher-order terms, Korteweg-de Vries equation, Lindstedt-poincare methods, Reductive perturbation method, Solitary waves, Solitons, Water waves
Kaynak
International Journal of Nonlinear Sciences and Numerical Simulation
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
11
Sayı
12
Künye
Demiray, H. (2010). Modulation of generalized symmetric regularized long-wave equation: Generalized nonlinear schrödinger equation. International Journal of Nonlinear Sciences and Numerical Simulation, 11(12), 1121-1130. doi:10.1515/IJNSNS.2010.11.12.1121
