摘要
柱KdV方程是一个重要的非线性模型.文章用相似变换方法对柱KdV方程进行变换,将其化为具有Painleve性质的非线性常微分方程,并且进一步讨论了柱KdV方程在两种情况下的渐近自相似解.
The cylindrical KdV equation, an important nonlinear mode, is transformed to a nonlinear ordinary differential equation with Painleve II property by similarity transformation. Furthermore, the asymptotic self- similar solutions to the cylindrical KdV equation are also given for two cases.
出处
《绍兴文理学院学报》
2007年第8期51-55,共5页
Journal of Shaoxing University
关键词
相似变换
自相似解
柱KdV方程
similarity transformation
self - similar solutions
cylindrical KdV equation
