Exact solutions of some nonlinear partial differential equations

Exact solutions of some nonlinear partial differential equations
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DOI:
10.1016/j.physa.2007.04.011
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发表时间:
2007-07
影响因子:
3.3
通讯作者:
I. Inan;D. Kaya
I. Inan;D. Kaya
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
I. Inan;D. Kaya

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我们实现了一种广义tanh函数方法来逼近组合Korteweg-de Vries (CKdV)方程和Sharma-Tasso-Olver方程的解。利用该格式,我们得到了CKdV方程和Sharma-Tasso-Olver方程的精确解。为了进一步研究该方法,得到了Boussinesq方程和复耦合KdV方程的精确解。
We implemented a generalized tanh function method for approximating the solution of the combined Korteweg–de Vries (CKdV) equation and Sharma–Tasso–Olver equation. By using this scheme, we found some exact solutions of the CKdV equation and Sharma–Tasso–Olver equation. For the further investigation of the method, some exact solutions of the Boussinesq equation and the complexly coupled KdV equations have been obtained.