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| 一类平衡阶数为负整数的非线性偏微分方程的精确解 | |
| 引用本文： | 詹雨,;郑丽霞. 一类平衡阶数为负整数的非线性偏微分方程的精确解[J]. 内蒙古工业大学学报, 2014, 0(3): 165-168 |
| 作者姓名： | 詹雨, 郑丽霞 |
| 作者单位： | [1]河套学院发展规划与教育评价中心,巴彦淖尔015000; [2]内蒙古工业大学理学院,呼和浩特010051 |
| 基金项目： | 内蒙古高等学校科学技术研究重点资助项目（NJZZ14053） |
| 摘 要： | 以齐次平衡原理为基础,给出了平衡阶数为负整数时的求解非线性偏微分方程的基本方法,并对方程ut=αuuxx+βu2x+p(u-u2)进行求解,到得了它的两个不同形式的精确解。 |
| 关 键 词： | 平衡阶数 非线性偏微分方程 精确解 |
Exact Solutions for Nonlinear Partial Differential Equations with Negative Integer Order of Balance |
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| Affiliation: | ZHAN Yu , ZHENG Lixia (1. Center of Development Planning and Education Evaluation, Hetao College, Bayannur 015000; 2. School of Science, Inner Mongolia University of Technology , Hohhot 010051) |
| Abstract: | The basic method for solving nonlinear partial differential equations with negative integer order of balance is introduced on the based of the homogeneous balance principle.Specifically,the equationut=αuuxx＋βu2x＋p（u-u2）is solved and finally its two different forms of exact solutions is obtained. |
| Keywords: | Balanced order Nonlinear partial differential equations Exact solutions |
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