内蒙古民族大学学报：自然科学版
內矇古民族大學學報：自然科學版
내몽고민족대학학보：자연과학판
Journal of Inner Mongolia University for the Nationalities(Natural Sciences)
2011年
6期
621-623,632
,共4页
Riccati方程法%变系数非线性发展方程%无穷序列新精确解
Riccati方程法%變繫數非線性髮展方程%無窮序列新精確解
Riccati방정법%변계수비선성발전방정%무궁서렬신정학해
Method of Riccati equation%Nonlinear evolution equation with variable coefficient%Infinite sequence new exact solutions
为了获得变系数非线性发展方程的无穷序列精确解,扩展应用Riccati方程法,在符号计算系统Mathematica的帮助下,构造了一种变系数非线性发展方程的无穷序列新精确解.这里包括以双曲函数、三角函数和有理函数构成的类孤子精确解.
為瞭穫得變繫數非線性髮展方程的無窮序列精確解,擴展應用Riccati方程法,在符號計算繫統Mathematica的幫助下,構造瞭一種變繫數非線性髮展方程的無窮序列新精確解.這裏包括以雙麯函數、三角函數和有理函數構成的類孤子精確解.
위료획득변계수비선성발전방정적무궁서렬정학해,확전응용Riccati방정법,재부호계산계통Mathematica적방조하,구조료일충변계수비선성발전방정적무궁서렬신정학해.저리포괄이쌍곡함수、삼각함수화유리함수구성적류고자정학해.
In order to obtain an infinite sequence new exact solutions to nonlinear evolution equation with variable coefficient,extended and applied method of Riccati equation,it constructed an infinite sequence new exact solutions of the nonlinear evolution equation with variable coefficient,with the help of symbolic computation system Mathematica.These solutions include soliton-like exact solutions constructed by hyperbolic functions,trigonomical functions and rational functions.
