Solitons and Periodic Solutions to Nonlinear Partial Differential Equations by the Sine-Cosine Method
Solitons and Periodic Solutions to Nonlinear Partial Differential Equations by the Sine-Cosine Method
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发表时间：
2012
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通讯作者：
Marwan Alquran
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作者：
Marwan Alquran
本文利用Sine-Cosine方法构造了非线性偏微分方程新的孤立子解。此外，还得到了Benjamin-Bona-Mahony方程和Gardner方程的周期解和钟形孤子解。还得到了Cassama-Holm方程的新的解。最后，利用所提出的方法研究了二阶齐次Kdv方程的两分量发展系统的解。
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.