Author(s)

Rehab M. El-Shiekh

Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt.

In this paper, the Auto-B?cklund transformation connected with the homogeneous balance method (HB) and the extended tanh-function method are used to construct new exact solutions for the time-dependent coefficients Calogero-Degasperis (VCCD) equation. New soliton and periodic solutions of many types are obtained. Furthermore, the soliton propagation is discussed under the effect of the variable coefficients.

Auto-Bäcklund Transformation, Homogeneous Balance Method, The Extended Tanh-Function Method, The Time-Dependent Coefficients Calogero-Degasperis Equation, Exact Solutions

El-Shiekh, R. (2015) Auto-Bäcklund Transformation and Extended Tanh-Function Methods to Solve the Time-Dependent Coefficients Calogero-Degasperis Equation. American Journal of Computational Mathematics, 5, 215-223. doi: 10.4236/ajcm.2015.52018.