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