Complex travelling wave solutions to the KdV and Burgers equations
Yükleniyor...
Dosyalar
Tarih
2005-03
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, making use of the hyperbolic tangent method, some complex travelling wave solutions to the Korteweg-deVries and Burgers equations are obtained. It is observed that the real part of the Solution for the Burgers equation is of shock type whereas the imaginary part is the localized travelling wave. However, for the solution of the Korteweg-deVries equation the real part is a solitary wave while the imaginary part is the product of a solitary wave with a shock.
Açıklama
This work was supported by the Turkish Academy of Sciences
Anahtar Kelimeler
Algebra, Functions, Ordinary differential equations, Problem solving, Set theory, Viscoelasticity, Burgers equations, Solitary waves, Tangent method, Traveling waves, Nonlinear equations, Korteweg-de Vries equation, Solitons, Water waves
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
162
Sayı
2
Künye
Demiray, H. (2005). Complex travelling wave solutions to the KdV and burgers equations. Applied Mathematics and Computation, 162(2), 925-930. doi:10.1016/j.amc.2003.12.132
