We construct infinitely many conservation laws of the generalised short pulse equation with the help of its Lax pairs. By a reciprocal transformation, the generalised short pulse equation was transformed to the first negative flow of Sawada–Kotera hierarchy. On the basis of Darboux and reciprocal transformations, we obtain some exact solutions of the generalised short pulse equation.

中文翻译：

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广义短脉冲方程：达布变换和精确解

我们在广义短脉冲方程的 Lax 对的帮助下构造了无限多个守恒定律。通过互易变换，广义短脉冲方程转化为 Sawada-Kotera 层次的第一个负流。在 Darboux 和倒易变换的基础上，我们得到了广义短脉冲方程的一些精确解。