摘要
介绍构造非线性方程精确解的一种直解代数方法——Jacobi椭圆函数展开法,并分析了Jacobi椭圆函数展开法的适用条件,揭示了Jacobi椭圆函数展开法的解题思想和技巧。最后,运用此方法构造出了两个非线性方程的精确解,并给出特殊情况下的波形图。
We mainly introduced a method of direct Algebra the Jacobian elliptic function expansion method, using for constructing the exact solutions to the nonlinear equations. We also analyzed the application conditions of the Jacobi elliptic function expansion method. Furthermore, we revealed the solving ideas and skills of the Jacobi elliptic function method. Finally, we constructed the exact solutions of two nonlinear equations based on the method and the waveform diagram was given under special circumstances.
出处
《井冈山大学学报（自然科学版）》
2013年第5期4-8,共5页
Journal of Jinggangshan University (Natural Science)
基金
周口师范学院青年科研基金项目(2012QNB09)
关键词
JACOBI椭圆函数
秩
非线性方程
齐次平衡法
精确解
Jacobi elliptic function expansion method
rank
nonlinear equation
homogeneous balance method
exact solution
