The extended generalized Riccati equation mapping method for the (1+1)-dimensional modified KdV equation
Küçük Resim Yok
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this article, the generalized Riccati equation mapping is extended by the (G-/G)-expansion method. 2 In this method, the auxiliary equation G'- = r + pG + qG2 is used and called the generalized Riccati equation, where p,q and r are arbitrary constants. We construct twenty five exact traveling wave solutions of the (1+1)-dimensional modified KdV equation involving parameter by applying this method. The solutions are presented in terms of the hyperbolic, the trigonometric and the rational functional form including solitons and periodic solutions. Moreover, it is worth mentioning that one of our obtained solutions is in good agreement with the existing results which in turn validates our other solutions. In addition, some of newly obtained solutions are described in the figures. © IDOSI Publications, 2013.
Açıklama
Anahtar Kelimeler
The (G'-/G)-expansion method, The generalized Riccati equation mapping, The modified KdV equation, Traveling wave solutions
Kaynak
World Applied Sciences Journal
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
25
Sayı
4
