| 广义DP方程的尖波解、孤立波类解和周期波解 |
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| 引用本文： | 罗国湘,荣继红.广义DP方程的尖波解、孤立波类解和周期波解[J].桂林电子科技大学学报,2009,29(1). |
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| 作者姓名： | 罗国湘 荣继红 |
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| 作者单位： | 1. 桂林航天工业高等专科学校,计算机系,广西,桂林,541004
2. 桂林电子科技大学,数学与计算科学学院,广西,桂林,541004 |
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| 摘 要： | 运用一个基于利用积分因子求解常微分方程的方法和直接方法,研究了广义Degasperis-Procesi方程,并证明了该方程.在不同的参数条件下,可出存在尖波解,孤立波解和周期波解的显示精确表示式.
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| 关 键 词： | 尖波 孤立渡 周期波 广义Degasperis-Procesi方程 |
Peakons,Solitary and Periodic Solutions for Generalized Degasperis-Procesi Equations |
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| LUO Guo-xiang,RONG ji-hong.Peakons,Solitary and Periodic Solutions for Generalized Degasperis-Procesi Equations[J].Journal of Guilin Institute of Electronic Technology,2009,29(1). |
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| Authors: | LUO Guo-xiang RONG ji-hong |
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| Affiliation: | 1.Department of Computer Science;Guilin College of Aerospace Technology;Guilin 541004;China;2.School of Mathematics and Computational Science;Guilin University of Electronic Technology;China |
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| Abstract: | By making use of a mathematical technique based on integral factors for solving differential equations and the direct method,the generalized Degasperis-Procesi equations were investigated.The existence of the peakons,solitary and periodic solutions are proved.The exact explicit parametric representations of the above travelling solutions are obtained. |
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| Keywords: | Peakons wave solitary wave periodic wave generalized Degasperis-Procesi equations |
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