| 变系数Burgers方程与KdV-Burgers方程的试探函数解 |
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| 引用本文： | 史秀珍,斯仁道尔吉. 变系数Burgers方程与KdV-Burgers方程的试探函数解[J]. 内蒙古大学学报(自然科学版), 2012, 43(1): 23-26 |
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| 作者姓名： | 史秀珍 斯仁道尔吉 |
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| 作者单位： | 内蒙古师范大学数学科学学院,呼和浩特,010022 |
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| 基金项目： | 国家自然科学基金，内蒙古师范大学研究生创新基金 |
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| 摘 要： | 通过构造新的试探函数,将变系数Burgers方程与KdV-Burgers方程化为易于求解的常微分方程组并对其求解,进而得到变系数Burgers方程与KdV-Burgers方程新的精确解.
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| 关 键 词： | 试探函数法 Burgers方程 KdV-Burgers方程 |
Trial Function Solutions of the Variable Coefficients Burgers Equation and the KdV-Burgers Equation |
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| SHI Xiu-zhen , Sirendaoerji. Trial Function Solutions of the Variable Coefficients Burgers Equation and the KdV-Burgers Equation[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2012, 43(1): 23-26 |
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| Authors: | SHI Xiu-zhen Sirendaoerji |
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| Affiliation: | SHI Xiu-zhen,Sirendaoerji(College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China) |
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| Abstract: | By introducing new trial functions,the Burgers equation with variable coefficients and the KdV-Burgers equation are reduced into the simple solvable ordinary differential equations.New exact solutions of them are obtained by solving the ordinary differential equations. |
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| Keywords: | trial function method Burgers equation KdV-Burgers equation |
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