A note on the amplitude modulation of symmetric regularized long-wave equation with quartic nonlinearity
Yükleniyor...
Tarih
2012-12
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We study the amplitude modulation of a symmetric regularized long-wave equation with quartic nonlinearity through the use of the reductive perturbation method by introducing a new set of slow variables. The nonlinear Schrodinger (NLS) equation with seventh order nonlinearity is obtained as the evolution equation for the lowest order term in the perturbation expansion. It is also shown that the NLS equation with seventh order nonlinearity assumes an envelope type of solitary wave solution.
Açıklama
Anahtar Kelimeler
Nonlinear Schrödinger equation, Solitary waves, Symmetric regularized wave equation, Ion-acoustic-waves, Higher-order terms, Water-waves, Tubes, Korteweg-de Vries equation, Solitons, Water waves, Dinger equation, Evolution equations, NLS equations, Non-Linearity, Perturbation expansions, Reductive perturbation methods, Regularized long wave equation, Solitary wave solution, Amplitude modulation, Nonlinear equations, Control nonlinearities
Kaynak
Journal of Engineering Mathematics
WoS Q DeÄŸeri
Q2
Scopus Q DeÄŸeri
Q2
Cilt
77
Sayı
1
Künye
Demiray, H. (2012). A note on the amplitude modulation of symmetric regularized long-wave equation with quartic nonlinearity. Journal of Engineering Mathematics, 77(1), 181-186. doi:10.1007/s10665-012-9538-0
