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。
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.
出处
《内蒙古工业大学学报（自然科学版）》
2014年第3期165-168,共4页
Journal of Inner Mongolia University of Technology：Natural Science Edition
基金
内蒙古高等学校科学技术研究重点资助项目(NJZZ14053)
关键词
平衡阶数
非线性偏微分方程
精确解
Balanced order
Nonlinear partial differential equations
Exact solutions
