| 广义Hirota-Satsuma耦合KdV方程的精确解 |
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| 引用本文： | 刘倩,周钰谦,刘合春. 广义Hirota-Satsuma耦合KdV方程的精确解[J]. 四川师范大学学报(自然科学版), 2011, 34(3): 335-339. DOI: 10.3969/j.issn.1001-8395.2011.03.012 |
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| 作者姓名： | 刘倩 周钰谦 刘合春 |
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| 作者单位： | 1. 西南民族大学计算机科学与技术学院,四川成都,610041
2. 成都信息工程学院数学学院,四川成都,610225 |
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| 基金项目： | 中央高校基本科研业务费专项基金(09NZYZJ10)资助项目 |
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| 摘 要： | 利用(G’/G)-展开法结合数学软件Maple求得了广义Hirota-Satsuma耦合KdV方程的新精确解,包括孤波解、三角函数周期解和有理解.为了更直观地理解这些解,给出了它们的数值模拟图.
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| 关 键 词： | 精确解 广义Hirota-Satsuma耦合KdV方程 (G’/G)-展开法 非线性发展方程 |
The Exact Solutions of a Generalized Hirota-Satsuma Coupled KdV Equation |
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| LIU Qian,ZHOU Yu-qian,LIU He-chun. The Exact Solutions of a Generalized Hirota-Satsuma Coupled KdV Equation[J]. Journal of Sichuan Normal University(Natural Science), 2011, 34(3): 335-339. DOI: 10.3969/j.issn.1001-8395.2011.03.012 |
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| Authors: | LIU Qian ZHOU Yu-qian LIU He-chun |
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| Affiliation: | LIU Qian1,ZHOU Yu-qian2,LIU He-chun2(1.College of Computer Science and Technology,Southwest University for Nationalities,Chengdu 610041,Sichuan,2.College of Mathematics,Chengdu University of Information Technology,Chengdu 610225,Sichuan) |
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| Abstract: | In recent years,(G′/G)-expansion method is widely used in solving nonlinear evolution equations.In this paper,by using(G′ G)-expansion method,with the help of mathematics software Maple,the new exact solutions of a generalized Hirota-Satsuma coupled KdV equation are obtained,including the solitary wave solutions,trigonometric function periodic solutions and rational solutions.For better understanding their numerical simulations are also given. |
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| Keywords: | exact solutions generalized Hirota-Satuma coupled KdV equation (G′/G)-expansion method nonlinear evolution equations |
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