We give a general method for constructing recursion operators for someequations of hydrodynamic type, admitting a nonstandard Lax representation. Wegive several examples for N=2 and N=3 containing the equations of shallow waterwaves and its generalizations with their first two higher symmetries and theirrecursion operators. We also discuss a reduction of $N+1$ systems to $N$systems of some new equations of hydrodynamic type.
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机译：我们给出了一种构造流体动力学类型方程的递归算子的通用方法，允许使用非标准的Lax表示。对于N = 2和N = 3的几个示例，包含浅水波方程及其前两个较高的对称性和递归运算符的推广，为例。我们还将讨论将$ N + 1 $系统简化为流体动力学类型的一些新方程的$ N $ systems的过程。
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