摘要
对Garndner方程通过变换先将其化为mKdV方程,再利用相似变换,化为具有Palinleve性质的常微分方程,最后利用Birkhoff Morgan方法求得Gardner方程的2种渐近自相似解.
In this paper,Gardner equation can be transformed into a mKdV equation by using a functional transformation.After similarity transformation,the mKdV equation can be reduced to an ordinary differential equation which is satisfied of Painleve property.Furthermore,utilizing Birkhoff-Morgan method,two kinds of self-similar solutions are obtained for the Gardner equation.
出处
《西北师范大学学报（自然科学版）》
CAS
2004年第1期35-37,共3页
Journal of Northwest Normal University(Natural Science)
关键词
Gardner方程
相似变换
自相似解
Gardner equation
similarity transformation
self-similar solutions
