| 具外力项变系数Burgers方程和Witham-Broer-Kaup方程新的显式精确解 |
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| 引用本文： | 洪宝剑,卢殿臣.具外力项变系数Burgers方程和Witham-Broer-Kaup方程新的显式精确解[J].南京工程学院学报(自然科学版),2007,5(2):1-8. |
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| 作者姓名： | 洪宝剑 卢殿臣 |
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| 作者单位： | 1. 南京工程学院基础部,江苏,南京,211167;江苏大学非线性科学研究中心,江苏,镇江,212013
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： | 借助两个推广形式的Riccati方程组和Mathematica软件,求出了具外力项变系数Burgers方程和Witham-Broer-Kaup方程的一些精确解,包括各种类孤立波解、类周期解和变速孤立波解,其中许多解是新的.
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| 关 键 词： | Riccati方程组 变系数Burgers方程 Witham-Broer-Kaup方程 类孤立波解 外力 系数 Burgers Equation 方程组 显式精确解 Forced Term Variable Coefficient Exact Solutions 变速孤立波解 周期解 类孤立波解 软件 Mathematica Riccati 推广形式 |
| 文章编号： | 1672-2558（2007）02-0001-08 |
| 修稿时间： | 2007-03-19 |
New Explicit and Exact Solutions to the Variable Coefficient Burgers Equation with Forced Term outside and Witham-Broer-Kaup Equation |
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| HONG Bao-jian,LU Dian-chen.New Explicit and Exact Solutions to the Variable Coefficient Burgers Equation with Forced Term outside and Witham-Broer-Kaup Equation[J].Journal of Nanjing Institute of Technology :Natural Science Edition,2007,5(2):1-8. |
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| Authors: | HONG Bao-jian LU Dian-chen |
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| Institution: | 1. Dept. of Basic Courses, Nanjing Institute of Technology, Nanjing 211167, China; 2. Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang 212013, China |
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| Abstract: | By using two extended Riccati equations and Mathematica software,the author obtains exact solutions to the Variable Coefficient Burgers Equation with forced term outside and Witham-Broer-Kaup equation,including many kinds of solitary-wave-like solutions,like periodical solutions and solitary wave solutions with variable speed,many of which are found for the first time. |
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| Keywords: | Riccati equations variable coefficient Burgers equation Witham-Broer-Kaup equation solitary-wave-like solutions |
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