Travelling wave solutions of the Fornberg-Whitham equation

Travelling wave solutions of the Fornberg-Whitham equation
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DOI：
10.1016/j.amc.2009.09.057
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发表时间：
2009-12
期刊：
Appl. Math. Comput.
影响因子：
--
通讯作者：
Aiyong Chen;Jibin Li;Xijun Deng;Wentao Huang
Aiyong Chen;Jibin Li;Xijun Deng;Wentao Huang
中科院分区：
其他
文献类型：
--
作者：
Aiyong Chen;Jibin Li;Xijun Deng;Wentao Huang

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相似文献

[周建斌，田林新，Fornberg-Whitham方程的一类有界行波解，J.Math.肛门。APPL346(2008)255-261]成功地找到了Fornberg-Whitham方程的一类有界行波解。本文利用相图分析技术对前人的结果进行了改进。给出了光滑周期波解、光滑孤立波解、周期尖波解和环形孤子解，并进行了数值模拟。结果表明，我们的理论分析与数值模拟是一致的。
Zhou and Tian [J.B. Zhou, L.X. Tian, A type of bounded travelling wave solutions for the Fornberg–Whitham equation, J. Math. Anal. Appl. 346 (2008) 255–261] successfully found a type of bounded travelling wave solutions of the Fornberg–Whitham equation. In this paper, we improve the previous result by using the phase portrait analytical technology. Moreover, some smooth periodic wave, smooth solitary wave, periodic cusp wave and loop-soliton solutions are given, and the numerical simulation is made. The results show that our theoretical analysis agrees with the numerical simulation.