The extended BKP–Boussinesq equation is considered to construct abundant breather waves, multi-shocks waves and localized excitation solutions. We first transform the original model to its bilinear form through a logarithmic transformation relation. Then, by setting a simple ansatz as a combinations of exponential and sinusoidal functions to obtain various breather waves solutions. We successfully archive five types of breather waves and depict graphically. Taking Burger model as an auxiliary equation, we derive multi-shock waves solutions to illustrate the overtaking collisions and energy distribution of the extended model sufficiently. Finally, we keep a simple variable separable ansatz solution to derive localized excitation structures of the model. Most of these solutions are found for the first time. Furthermore, the results disclose that the new approaches are very direct, elementary, effective and can be used for many other NLPDEs, which develop the various types of dynamical properties of any wave model.

扩展的 BKP-Boussinesq 方程被认为可以构建丰富的呼吸波、多冲击波和局部激发解。我们首先通过对数转换关系将原始模型转换为其双线性形式。然后，通过设置一个简单的 ansatz 作为指数函数和正弦函数的组合来获得各种呼吸波解。我们成功地存档了五种类型的呼吸波并以图形方式描绘。以Burger模型为辅助方程，推导出多激波解，充分说明扩展模型的超车碰撞和能量分布。最后，我们保留了一个简单的可变可分离 ansatz 解决方案来导出模型的局部激励结构。大多数这些解决方案都是第一次找到。此外，