Lie group analysis for initial and boundary value problem of time-fractional nonlinear generalized KdV partial differential equation
Yükleniyor...
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
TUBITAK
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The Lie group analysis or in other word the symmetry analysis method is extended to deal with a timefractional order derivative nonlinear generalized KdV equation. Our research in this work aims to use transformation methods and their analysis to search for exact solutions to the nonlinear generalized KdV differential equation. It is shown that this equation can be reduced to an equation with Erdelyi-Kober fractional derivative. In this study, we research the initial and boundary conditions, considering them invariant, and so we get two ordinary initial value problems, i.e. two Cauchy problems. Conservation laws for the given equation are also investigated. In this work, we introduce symmetry analysis and find conservation laws for the nonlinear generalized time-fractional KdV equation by the Lie groups method using fractional derivatives in the Riemann-Liouville sense. © Tübitak.
Açıklama
Anahtar Kelimeler
Conservation laws, Generalized KdV equation, Lie groups method, Riemann-Liouville derivative
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
43
Sayı
3
