洛阳师范学院学报
洛暘師範學院學報
락양사범학원학보
Journal of Luoyang Teachers College
2015年
2期
12~17
,共null页
G'/G-展开法 齐次平衡原则 精确解 Burgers方程 变系数Joseph-Egri方程
G'/G-展開法 齊次平衡原則 精確解 Burgers方程 變繫數Joseph-Egri方程
G'/G-전개법 제차평형원칙 정학해 Burgers방정 변계수Joseph-Egri방정
G'/G-expansion; homogeneous balance principle; exact solutions; Burgers equation; Joseph-Egri equation with variable coefficients
利用扩展的G'/G-展开法,讨论Burgers方程和变系数的Joseph-Egri方程,并分别得到了它们新的精确解.该方法同样也能够用于求解其他非线性发展方程,而且这种方法比较快捷有效.
利用擴展的G'/G-展開法,討論Burgers方程和變繫數的Joseph-Egri方程,併分彆得到瞭它們新的精確解.該方法同樣也能夠用于求解其他非線性髮展方程,而且這種方法比較快捷有效.
이용확전적G'/G-전개법,토론Burgers방정화변계수적Joseph-Egri방정,병분별득도료타문신적정학해.해방법동양야능구용우구해기타비선성발전방정,이차저충방법비교쾌첩유효.
Two extended G' / G- expansion methods were applied to the Burgers equation and the Joseph-Egri equation with variable coefficients. With the aid of computer algebra system Mathematica,their exact solutions were obtained. The methods can also be used to solve other nonlinear partial differential equations; what's more,this method is very efficient and effective.