计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2015年
16期
23-25
,共3页
(G′/G)-方法%修正Riemann-Liouville导数%分数阶Calogero KDV方程
(G′/G)-方法%脩正Riemann-Liouville導數%分數階Calogero KDV方程
(G′/G)-방법%수정Riemann-Liouville도수%분수계Calogero KDV방정
(G′/G)-expansion method%modified Riemann-Liouville derivative%fractional Calogero KDV equation
将分数阶复变换方法和(G′/G)方法相结合得到了一种辅助方程方法，用来求解分数阶非线性微分方程。利用该方法并借助于软件Mathematica的符号计算功能求解了分数阶Calogero KDV方程，得到了该方程新的精确解。
將分數階複變換方法和(G′/G)方法相結閤得到瞭一種輔助方程方法，用來求解分數階非線性微分方程。利用該方法併藉助于軟件Mathematica的符號計算功能求解瞭分數階Calogero KDV方程，得到瞭該方程新的精確解。
장분수계복변환방법화(G′/G)방법상결합득도료일충보조방정방법，용래구해분수계비선성미분방정。이용해방법병차조우연건Mathematica적부호계산공능구해료분수계Calogero KDV방정，득도료해방정신적정학해。
A generalized auxiliary equation method, which combines fractional complex transform with (G′/G)-expansion method, is extended to systematically construct exact solutions of nonlinear space-time fractional differential equations with the aid of computerized symbolic computation software Mathematica in a natural way. The method is used to obtain the exact solutions of fractional Calogero KDV equation. The method provides a promising tool for finding exact solutions of fractional nonlinear partial differential equations.
