井冈山大学学报（自然科学版）Issue(5)：4-8,5.DOI:10.3969/j.issn.1674-8085.2013.05.002
Jacobi椭圆函数展开法在两个非线性偏微分方程解中的应用
JACOBI ELLIPTIC FUNCTION EXPANSION METHOD IS APPLIED TO TWO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
摘要
Abstract
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.关键词
Jacobi椭圆函数/秩/非线性方程/齐次平衡法/精确解Key words
Jacobi elliptic function expansion method/rank/nonlinear equation/homogeneous balance method/exact solution分类
数理科学引用本文复制引用
阮传同,张瑞丽..Jacobi椭圆函数展开法在两个非线性偏微分方程解中的应用[J].井冈山大学学报（自然科学版）,2013,(5):4-8,5.基金项目
周口师范学院青年科研基金项目(2012QNB09) （2012QNB09）
