摘要
对求解非线性数学物理方程的F-展开法进行了扩展,并利用齐次平衡原则求出KdV方程的椭圆函数表示的精确解,在极限情形下,得到该方程的三角函数表示的周期波解.
The F-expansion method is extended on solving nonlinear mathematical physics equations,and exact solutions of KdV equation expressed elliptic functions are obtained by using the homogeneous balance principle.In the limit cases,the equation of the trigonometric functions are expressed in periodic wave solutions.
出处
《山西大同大学学报（自然科学版）》
2010年第5期10-12,共3页
Journal of Shanxi Datong University(Natural Science Edition)
关键词
KDV
方程
F-展开法
齐次平衡原则
精确解
KdV equation
F-expansion method
homogeneous balance principle
exact solutions
