A multiple Riccati equations rational expansion method and novel solutions of the Broer–Kaup–Kupershmidt system
A multiple Riccati equations rational expansion method and novel solutions of the Broer–Kaup–Kupershmidt system
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DOI：
10.1016/j.chaos.2005.08.153
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发表时间：
2006-10
影响因子：
7.8
通讯作者：
Qi Wang;Yong Chen
中科院分区：
文献类型：
--
作者：
Qi Wang;Yong Chen
为了构造非线性偏微分方程的精确解，提出了多重Riccati方程有理展开方法（MRERE），并得到了Broer-Kaup-Kupershirt系统的一系列新解，其中包括同时出现的双曲（孤）函数解和三角周期函数解.
To construct exact solutions of nonlinear partial differential equation, a multiple Riccati equations rational expansion method (MRERE) is presented and a series of novel solutions of the Broer–Kaup–Kupershmidt system are found. The novel solutions obtained by MRERE method include solutions of hyperbolic (solitary) function and triangular periodic functions appearing at the same time.