| 耦合Klein-Gordon-Zakharov方程组的新精确解 |
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| 引用本文： | 曹瑞.耦合Klein-Gordon-Zakharov方程组的新精确解[J].贵州大学学报(自然科学版),2010,27(6):22-24,32. |
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| 作者姓名： | 曹瑞 |
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| 作者单位： | 菏泽学院数学系,山东菏泽274015 |
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| 摘 要： | 结合齐次平衡原理,运用F-展开方法,借助计算机代数系统Mathematica研究了一类Klein-Gordon-Zakharov方程组的一系列新精确周期解。在极限情况下,获得了多组孤立波解以及三角函数解。该方法也可以用来求解其它的非线性发展方程。
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| 关 键 词： | Klein-Gordon-Zakharov方程 F-展开方法 周期解 孤立波解 |
New Exact Solutions to the Coupled Klein-Gordon-Zakharov Equations |
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| CAO Rui.New Exact Solutions to the Coupled Klein-Gordon-Zakharov Equations[J].Journal of Guizhou University(Natural Science),2010,27(6):22-24,32. |
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| Authors: | CAO Rui |
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| Institution: | CAO Rui(Department of Mathematics,Heze University,Heze 274015,China) |
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| Abstract: | Based on homogeneous balance method and with the aid of Mathematica,the F-expansion method was utilized to obtain new exact solutions of coupled Klein-Gordon-Zakharov equations.In the extreme cases,the solitary wave solutions and trigonometric function solutions were obtained as well.It is shown that this method can also be used to find new exact solutions for other nonlinear evolution equations. |
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| Keywords: | Klein-Gordon-Zakharov equations F-expansion method periodic wave solutions solitary wave solutions |
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