By a direct symmetry reduction approach, all the symmetry reductions of the B(m,n) model,u t+(u m) x+(u n) xx =0 are given in this paper.
利用对称性约化的直接法,给出了B(m ,n)模型ut + (um )x + (un)xx = 0 的所有对称性约化。
Using a direct method of the symmetry reductions,two similar reductions of the model are given.
寻找可积模型是非线性物理中的重要问题之一 而KdV方程是最重要的 1+1维可符号模型 对一新的KdV型方程作了Painlev可积性研究 ,利用对称性约化的趋势妆法给出了该模型的两种相似约
In this paper, the authors gave symmetry reductions for a (2+1) dimensional integrable dispersive long wave equation, which are obtained by using an extension of the direct method by Clarkson and Kruskal,and involves no group theoretical techniques.
给出了(2+1)维可积的色散长波方程的3种对称性约化,把(2+1)维偏微分方程约化到(1+1)维的偏微分方程。
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