CTE method to the interaction solutions of Boussinesq-Burgers equations

CTE method to the interaction solutions of Boussinesq-Burgers equations
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DOI:
10.1016/j.aml.2014.07.014
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发表时间:
2014-12
期刊:
Appl. Math. Lett.
影响因子:
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通讯作者:
Yun-Hu Wang
Yun-Hu Wang
中科院分区:
其他
文献类型:
--
作者:
Yun-Hu Wang

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本文研究的是描述浅水波传播的Boussinesq-Burgers方程。通过截断Painlevé分析和一致双曲正切展开(CTE)方法,给出了多共振孤子解、孤子误差函数波、孤子周期波、孤子有理波和孤子势Burgers波等非线性激励之间相互作用的精确解.
Under investigation in this paper is the Boussinesq–Burgers equations, which describe the propagation of shallow water waves. Via the truncated Painlevé analysis and the consistent tanh expansion (CTE) method, some exact interaction solutions among different nonlinear excitations such as multiple resonant soliton solutions, soliton–error function waves, soliton–periodic waves, soliton–rational waves, and soliton–potential Burgers waves are explicitly given.