| Dodd-Bullough-Mikhailov方程的精确解 |
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| 引用本文： | 朱明星,卢殿臣.Dodd-Bullough-Mikhailov方程的精确解[J].数学的实践与认识,2011,41(22). |
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| 作者姓名： | 朱明星 卢殿臣 |
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| 作者单位： | 1. 江苏科技大学 数理学院,江苏 镇江,212003
2. 江苏大学 非线性科学研究中心,江苏 镇江,212013 |
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| 摘 要： | 利用(G'/G)法求解了Dodd-Bullough-Mikhailov的精确解,得到了Dodd-Bullough-Mikhailov方程的用双曲函数,三角函数和有理函数表示的三类精确行波解.由于方法中的G为某个二阶常系数线性ODE的通解,故方法具有直接、简洁的优点;更重要的是,方法可用于求得其它许多非线性演化方程的行波解.如果对其中双曲函数表示的行波解中的参数取特殊值,那么可得已有的孤波解.
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| 关 键 词： | Dodd-Bullough-Mikhailov方程 (G'/G)法 双曲函数解 三角函数解 有理函数解 |
Exact solutions for Dodd-Bullough-Mikhailov Equation |
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| ZHU Ming-xing,LU Dian-chen.Exact solutions for Dodd-Bullough-Mikhailov Equation[J].Mathematics in Practice and Theory,2011,41(22). |
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| Authors: | ZHU Ming-xing LU Dian-chen |
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| Institution: | ZHU Ming-xing~1,LU Dian-chen~2 (1.School of Mathematics and Physics,Jiangsu University of Science and Technology,Zhenjiang 212003,China) (2.Center of Nonlinear Science Research,Jiangsu University,Zhejiang 212013,China) |
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| Abstract: | The(G'/G)method is used to solve the Dodd-Bullough-Mikhailov equation,by means of the method,three types of exact traveling wave solutions are obtained,inchiding the hyperbolic functions,trigonometric and rational function solutions.In this method,G for a second order linear ODE of the general solution,so the method is direct,simple;more importantly,this method can be used in many other nonlinear evolution equations to obtain traveling wave solutions.If take special values of the hyperbolic functions which ... |
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| Keywords: | Dodd-Bullough-Mikhailov equation (G'/ G)method hyperbolic function solutions trigonometric function solutions rational function solutions |
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