| 扩展的映射法与mKdV—Burgers方程的精确解 |
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| 引用本文： | 李晓峰,韩家骅.扩展的映射法与mKdV—Burgers方程的精确解[J].徐州师范大学学报(自然科学版),2012(3):4-7,26. |
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| 作者姓名： | 李晓峰 韩家骅 |
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| 作者单位： | 安徽大学物理与材料科学学院 |
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| 基金项目： | 安徽省科技厅年度重点基金资助项目(01041188) |
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| 摘 要： | 运用映射法并结合辅助方程，求出了mKdV—Burgers方程不同的形式解．根据求出的系数知，决定椭圆函数的模数只能取两种临界值，由此得到了该方程相应的三角函数周期波解和双曲函数孤波解．
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| 关 键 词： | 映射法 周期波解 孤波解 辅助方程 mKdV-Burgers方程 |
The extended mapping method and exact solutions of mKdV-Burgers equation |
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| Li Xiaofeng,Han Jiahua.The extended mapping method and exact solutions of mKdV-Burgers equation[J].Journal of Xuzhou Normal University(Natural Science Edition),2012(3):4-7,26. |
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| Authors: | Li Xiaofeng Han Jiahua |
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| Institution: | (School of Physics & Material Science,Anhui University,Hefei 230039,Anhui,China) |
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| Abstract: | Combining the extended mapping method with auxiliary equation, we obtain the solutions of the mKdV- Burgers equation in different forms. Also according to the derived coefficients, we know that the modulus of elliptic function can only be taken as two kinds of thresholds, so corresponding trigonometric periodic wave and hyperbolic functions solitary wave solutions of the equation are obtained. |
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| Keywords: | extended mapping method periodic wave solution solitary wave solution auxiliary equation mKdV- Burgers equation |
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