| 广义Pochhammer-Chree方程的新孤波解和余弦周期波解 |
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| 引用本文： | 李韶伟,张卫国. 广义Pochhammer-Chree方程的新孤波解和余弦周期波解[J]. 应用数学, 2009, 22(3) |
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| 作者姓名： | 李韶伟 张卫国 |
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| 作者单位： | 1. 上海理工大学理学院,上海,200093;台州学院数信学院,浙江,台州,317000
2. 上海理工大学理学院,上海,200093 |
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| 基金项目： | 上海市教委科技发展基金资助项目 |
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| 摘 要： | 本文利用假设待定法求出了具5阶非线性项的广义Pochhammer-Chree方程具双曲正割函数分式形式的2个新孤波解和6个余弦函数周期波解,并分别给出了它们的有界性条件.揭示了行波波速v的改变与钟状孤波解和余弦周期波解波形变化的相关性.
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| 关 键 词： | 广义Pochhammer-Chree方程 孤波解 周期波解 |
New Soliton Solutions and Periodic Wave Solutions with Cosine Function Form for the Generalized Pochhammer-Chree Equation |
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| LI Shao-wei,ZHANG Wei-guo. New Soliton Solutions and Periodic Wave Solutions with Cosine Function Form for the Generalized Pochhammer-Chree Equation[J]. Mathematica Applicata, 2009, 22(3) |
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| Authors: | LI Shao-wei ZHANG Wei-guo |
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| Abstract: | In this paper,we obtained two new soliton solutions with the hyperbolic secant function fractional form and six periodic wave solutions with cosine function form for the Pochhammer-Chree equation by means of the undetermined assumption method. Moreover, we discussed the boundedness of these solutions. Moreover,the correlative characteristic was discovered between the exact solitary-wave solutions and the periodic wave solutions along with the variation of the traveling wave's velocity. |
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| Keywords: | Generalized Pochhammer-Chree equation Soliton solution Periodic wave solution |
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