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Auto-Bäcklund Transformation and Extended Tanh-Function Methods to Solve the Time-Dependent Coefficients Calogero-Degasperis Equation
Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt
- 1 Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt
American Journal of Computational Mathematics·Volume 05 (2015)·Pages 215–223·Published 13 May 2015·DOI10.4236/ajcm.2015.52018
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Abstract
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.
KeywordsAuto-Bäcklund TransformationHomogeneous Balance MethodThe Extended Tanh-Function MethodThe Time-Dependent Coefficients Calogero-Degasperis EquationExact Solutions
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