New exact solutions to the CDF equations

Teoman Özer*

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11 Atıf (Scopus)

Özet

New exact soliton solutions to the Cologero-Degasperies-Fokas (CDF) equations in (1+1)-dimension and (2+1)-dimension by using the improved tanh method are investigated. First, the (1+1)-dimensional CDF equation is analyzed. By the improved tanh method, the corresponding nonlinear partial differential equation is reduced to the nonlinear ordinary differential equations and then the different types of exact solutions to the original equation are obtained based on the solutions of the Riccati equation. For the case of (2+1)-dimensional CDF equation the same computation procedure is carried out. It is presented that one could obtain new exact explicit solutions, which are traveling wave solutions, to (2+1)-dimensional CDF equation. Additionally, some graphical representations of the solitary and periodic solutions are presented.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)1371-1385
Sayfa sayısı15
DergiChaos, Solitons and Fractals
Hacim39
Basın numarası3
DOI'lar
Yayın durumuYayınlandı - 15 Şub 2009

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