摘要
证明了一类广义ＫｄＶ方程周期初值边值问题的解在Ｌ２意义下关于初值及非齐次项的稳定性和唯一性；借助于单参数的无穷小变换李群，得到了齐次方程的相似变换和相似解．
he uniqueness and stability of the solution of the periodic initial boundary value problem for the generalized kdV equation are proved' The similarity solution were obtained by using the Li's infinitesimal transformation.
出处
《西安石油学院学报》
1995年第2期69-72,共4页
Journal of Xi'an Petroleum Institute
关键词
初边值问题
相似解
相似变换
KDV方程
artial differential equation, transformation (mathematics), period, boundary condition/generalized KdV equation, periodic initial-boundary value, infinitesimal transformation, similarity solution
