【摘要】 考虑如下具有分布时滞的KdV方程ut=uxxx+6(f*u)ux,其中f为时滞核函数,利用经典的李群理论得到了当时滞核函数f为弱一般核时,时滞KdV方程的三个简单对称及其相应的群不变解。更多还原

【Abstract】 The Symmetry and Group-invariant solutions are discussed for the following KdV equation with distributed delay ut=uxxx+6(f*u)ux,where f is a delay kernel function.By using the classical Lie Group theory to the KdV equation with distributed delay,three symmetries and group-invariant solutions for this delay equation is obtained when the delay kernel is "weak" generic kernel.更多还原