In this paper, we study the bifurcation and exact travelling wave solutions of the general regularized long wave (GRLW) equation. Based on the bifurcation theory of dynamical system, the various exact solutions are obtained. We consider the cases: \(p=2n+1\) and \(p=2n\) respectively. It is shown that GRLW equation has extra kink and anti-kink wave solutions when \(p=2n+1\), while it’s not for \(p=2n\).

中文翻译：

---

一般正则长波方程的行波解

在本文中，我们研究了广义正则长波（GRLW）方程的分叉和精确行波解。基于动力学系统的分岔理论，获得了各种精确解。我们考虑以下情况：\（p = 2n + 1 \）和\（p = 2n \）。结果表明，当\（p = 2n + 1 \）时，GRLW方程具有额外的扭结和反扭波解，而对于\（p = 2n \）则没有。