| 三维空间中Klein-Gordon-Zakharov方程的精确解 |
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| 引用本文： | 蒋毅,蒲志林,孟宪良.三维空间中Klein-Gordon-Zakharov方程的精确解[J].四川师范大学学报(自然科学版),2007,30(3):262-265. |
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| 作者姓名： | 蒋毅 蒲志林 孟宪良 |
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| 作者单位： | 四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 国家自然科学基金;四川省教育厅自然科学基金 |
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| 摘 要： | 运用改进的tanh函数法,利用一种新的Riccati方程得到三维空间中Klein-Gordon-Zakharov方程的精确解.包括sech型的孤子解、tanh型的孤子解、三角函数的周期解、有理解、Jacoobi椭圆函数解,共5种类型的13组解.
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| 关 键 词： | Klein-Gordon-Zakharov方程 孤子解 三角函数解 有理解 椭圆函数解 |
| 文章编号： | 1000-8395（2007）03-0262-04 |
| 收稿时间： | 2005-09-09 |
| 修稿时间： | 2005-09-09 |
Exact Solutions to the Klein-Gordon-Zakharov Equations in Three Space Dimensions |
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| JIANG Yi,PU Zhi-lin,MENG Xian-liang.Exact Solutions to the Klein-Gordon-Zakharov Equations in Three Space Dimensions[J].Journal of Sichuan Normal University(Natural Science),2007,30(3):262-265. |
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| Authors: | JIANG Yi PU Zhi-lin MENG Xian-liang |
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| Institution: | College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan |
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| Abstract: | In this paper, by using a new class of Riccati equations and the extended tanh-fuction method, exact solutions of the Klein-Gordon-Zakharov equations in three space dimensions are constructed. The solutions not only include sech-solition solutions, tanh-soliton solutions, rational solutions, but also include triangle function periodic solutions and Jacobi ellipse ruction solutions. Total- ly there are thirteen solutions which are of five different type of function. |
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| Keywords: | Klein-Gordon-Zakharov equations Solition solutions Triangle function solutions Tational solutions Wllipse fuction solutions |
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