Recently, Zhu et al. (2020) proposed a kind of rotation-Camassa–Holm equation. In this paper, we study the question of nonexistence of periodic peaked traveling wave solution for rotation-Camassa–Holm equation. Indeed, rotation-Camassa–Holm equation has no nontrivial periodic Camassa–Holm peaked solution unlike Camassa–Holm equation, modified Camassa–Holm equation, Novikov equation.

中文翻译：

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旋转-Camassa-Holm方程的周期峰值行波解的不存在

最近，Zhu等人。（2020年）提出了一种旋转-Camassa-Holm方程。在本文中，我们研究了旋转Camassa-Holm方程的周期峰值行波解不存在的问题。实际上，与Camassa-Holm方程，改良的Camassa-Holm方程，Novikov方程不同，旋转-Camassa-Holm方程没有非平凡的周期性Camassa-Holm峰值解。