标题： 卡马斯-霍姆方程的推广 显示英文标题

标题： Generalisations of the Camassa-Holm equation

摘要： 我们对具有无限高对称性层次的广义Camassa-Holm型方程进行分类。 我们表明，所得方程可以视为可积的二阶、三阶和五阶拟线性标量演化方程的负流。 我们为这些方程提供了相应的Lax表示或线性化变换。 其中一些所得方程似乎为新的。 显示英文摘要

摘要： We classify generalised Camassa-Holm type equations which possess infinite hierarchies of higher symmetries. We show that the obtained equations can be treated as negative flows of integrable quasi-linear scalar evolution equations of orders 2, 3 and 5. We present the corresponding Lax representations or linearisation transformations for these equations. Some of the obtained equations seem to be new.