| PKP-方程的精确周期孤子解和双周期解 |
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| 引用本文： | 李自田.PKP-方程的精确周期孤子解和双周期解[J].山西大学学报(自然科学版),2010,33(2). |
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| 作者姓名： | 李自田 |
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| 作者单位： | 曲靖师范学院,数学与信息科学学院,云南,曲靖,655011 |
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| 基金项目： | 国家自然科学基金，云南省教育厅科学研究基金项目，曲靖师范学院科研基金 |
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| 摘 要： | 应用同宿测试方法研究并获得了PKP-方程的新的精确周期孤子解和双周期解,同时得出了该方程在点p2=4处具有衰减性.从平衡点的左侧到右侧,方程的解从周期孤子解衰变为双周期解.
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| 关 键 词： | 周期孤子解 双周期 同宿测试法 衰减 |
Exact Periodic Soliton Solution and Double Periodic Solution to PKP-equations |
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| LI Zi-tian.Exact Periodic Soliton Solution and Double Periodic Solution to PKP-equations[J].Journal of Shanxi University (Natural Science Edition),2010,33(2). |
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| Authors: | LI Zi-tian |
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| Institution: | LI Zi-tian (College of Mathematics and Information Science,Qujing Normal University,Qujing 655011,China) |
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| Abstract: | The periodic soliton and the double periodic solutions to PKP-equation are obtained by using homoclinic test method.Mean while,we also find that the equation has the properties of degeneration at p2=4.When the equilibrium p varies from one side of p2=4 to the other side,the periodic soliton solution changes into a doubly periodic solution. |
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| Keywords: | periodic soliton solutions double periodic homoclinic test method degeneration |
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