摘要
对于一般KdV方程(0,1)给出统一的相似约化,利用所得的三参数Lie点变换群,从已知解产生新的单参数解族,对于非可积情形(n=2,4,σ=-1)给出一系列的精确解或解的渐近态。
For the general KdV equations (0. 1) , the unified similarity reduction is obtained. Using the three-parameters Lie point transformation group, we generate a one-parameter family of solutions from given solutions. In the non-integrable (n= 2,4,σ= -1) cases, we get a series of exact solutions or the approximate state of solutions.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1993年第2期169-175,共7页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金
关键词
KDV方程
李点变换群
自B变换
Lie Point Transformation Group, Self-Backlund Transformation, Painleve Property.
