In this paper, we establish a new criterion for the orbital stability of periodic waves related to a general class of regularized dispersive equations. More specifically, we present sufficient conditions for the stability without knowing the positiveness of the associated hessian matrix. As application of our method, we show the orbital stability for the fifth-order model. The orbital stability of periodic waves resulting from a minimization of a convenient functional is also proved.

中文翻译：

---

正则化色散方程的周期行波解：应用轨道稳定性的充分条件

在本文中，我们建立了一个新的周期波轨道稳定性判据，该判据与一类一般的正则化色散方程相关。更具体地说，我们在不知道相关 hessian 矩阵的正性的情况下为稳定性提出了充分的条件。作为我们方法的应用，我们展示了五阶模型的轨道稳定性。还证明了由便利泛函的最小化产生的周期波的轨道稳定性。