Hirota’s bilinear method is used in this paper to obtain some breather wave and lumps solutions to the Caudrey–Dodd–Gibbon equation through the symbolic Mathematica 12 package. This equation is converted into its potential version and then the transformation of Cole–Hopf is implemented on the equation to produce its bilinear form. We then formally derive some novel solutions such as breather-wave, lump-periodic and some interaction solutions. The details explanation of the acquired solutions are also illustrated graphically in order to show the physical features of the solutions.

中文翻译：

---

Caudrey–Dodd–Gibbon方程的呼吸波，整周期解和其他相互作用现象

本文使用Hirota的双线性方法通过符号Mathematica 12程序包获得了Caudrey–Dodd–Gibbon方程的呼吸波和集总解。该方程式被转换成其潜在形式，然后对该方程式进行Cole-Hopf变换以产生其双线性形式。然后，我们正式得出一些新颖的解决方案，例如通气波，整周期和一些交互作用解决方案。还以图形方式说明了所获取解决方案的详细说明，以显示解决方案的物理特征。