西北师范大学学报(自然科学版)
西北師範大學學報(自然科學版)
서북사범대학학보(자연과학판)
JOURNAL OF NORTHWEST NORMAL UNIVERSITY(NATURAL SCIENCE)
2009年
1期
40-43
,共4页
组合法%Burgers-KdV方程%显式精确解
組閤法%Burgers-KdV方程%顯式精確解
조합법%Burgers-KdV방정%현식정학해
combination method%Burgers-KdV equation%explicit and exact solution
通过分析Burgers方程、KdV方程和Burgers-KdV方程的特点,提出了一种由Burgers方程的解和KdV方程的解构造Burgers-KdV方程解的组合法,并由此求得了Burgers-KdV方程的若干显式精确解.
通過分析Burgers方程、KdV方程和Burgers-KdV方程的特點,提齣瞭一種由Burgers方程的解和KdV方程的解構造Burgers-KdV方程解的組閤法,併由此求得瞭Burgers-KdV方程的若榦顯式精確解.
통과분석Burgers방정、KdV방정화Burgers-KdV방정적특점,제출료일충유Burgers방정적해화KdV방정적해구조Burgers-KdV방정해적조합법,병유차구득료Burgers-KdV방정적약간현식정학해.
In view of the analysis on the characteristics of the Burgers equation,KdV equation and Burgers-KdV equation,aacombination method is presented to construct the solutions of the Burgers-KdV equation by combining with those of the Burgers equation and KdV equation.As a result,many explicit and exact solutions of the Burgers-KdV equation are successfully derived by this technique.