Auto-Backlund Transformation and Extended Tanh-Function Methods to Solve the Time-Dependent Coefficients Calogero-Degasperis Equation  

作　　者：Rehab M. El-Shiekh 

机构地区：[1]Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt

出　　处：《American Journal of Computational Mathematics》2015年第2期215-223,共9页美国计算数学期刊（英文）

摘　　要：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.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.

关 键 词：Auto-Backlund Transformation Homogeneous Balance Method The Extended Tanh-Function Method The Time-Dependent Coefficients Calogero-Degasperis Equation Exact Solutions 

分 类 号：O1[理学—数学]