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| 具有变系数的广义Burgers-KdV方程新精确解 | |
| 引用本文： | 赵熙强,张玉峰,闫庆友,龚新波.具有变系数的广义Burgers-KdV方程新精确解[J].大连理工大学学报,2003,43(4):403-406. |
| 作者姓名： | 赵熙强 张玉峰 闫庆友 龚新波 |
| 作者单位： | 1. 南京航天航空大学,空气动力系,江苏,南京,210016 2. 山东科技大学,信息工程学院,山东,泰安,271019 3. 山东财政学院,经济统计系,济南,250014 4. 山东科技大学,教务处,山东,泰安,271019 |
| 基金项目： | 国家自然科学基金，60174037， |
| 摘 要： | 利用截断展开法求得了具有变系数的一类广义Burgers—KdV方程的新的精确解，作为特例，分别获得了具有变系数的广义KdV方程和广义柱KdV方程的精确解，由此发现了Burgers方程的一类新的孤子解。 |
| 关 键 词： | 变系数广义Burgers－KdV方程 精确解 截断展开法 孤子解 广义KdV方程 广义柱KdV方程 |
New explicit exact solutions to a type of generalized Burgers-KdV equations with variant coefficients |
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| Abstract.New explicit exact solutions to a type of generalized Burgers-KdV equations with variant coefficients[J].Journal of Dalian University of Technology,2003,43(4):403-406. | |
| Authors: | Abstract |
| Abstract: | Truncation expansion method is used to obtain new explicit exact solutions to a type of generalized Burgers-KdV equations with variant coefficients. As special reduction cases, the exact solutions for the generalized KdV equation and the generalized cylinder KdV equation with variant coefficients are presented respectively; and thereafter a new explicit exact solitary solution for the well-known Burgers equation is shown, which was not found before. |
| Keywords: | exact solution Burgers-KdV equations truncation expansion method |
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