Solitons and Periodic Solutions to Nonlinear Partial Differential Equations by the Sine-Cosine Method

Authors

Marwan T. Alquran, Department of Mathematics and Statistics, Jordan University of Science and Technology ,Irbid (22110) , JordanFollow

Author Country (or Countries)

Jordan

Abstract

In this paper, we construct new solitary solutions to nonlinear PDES by the Sine-Cosine method. Moreover, the periodic solutions and bell-shaped solitons solutions to the Benjamin-Bona-Mahony and the Gardner equations are obtained. New solution to the Cassama-Holm equation is also obtained. Finally, the solution of a two-component evolutionary system of a homogeneous Kdv equations of order 2 has been investigated by the proposed method.

Suggested Reviewers

N/A

Recommended Citation

T. Alquran, Marwan (2012) "Solitons and Periodic Solutions to Nonlinear Partial Differential Equations by the Sine-Cosine Method," Applied Mathematics & Information Sciences: Vol. 06: Iss. 1, Article 11.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol06/iss1/11