TY - JOUR
T1 - New exact solutions to the CDF equations
AU - Özer, Teoman
PY - 2009/2/15
Y1 - 2009/2/15
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=62949106087&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2007.05.018
DO - 10.1016/j.chaos.2007.05.018
M3 - Article
AN - SCOPUS:62949106087
SN - 0960-0779
VL - 39
SP - 1371
EP - 1385
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 3
ER -