The Painlevé integrability of the higher-order Boussinesq equation is proved by using the standard Weiss-Tabor-Carnevale (WTC) method. The multisoliton solutions of the higher-order Boussinesq equation are obtained by introducing dependent variable transformation. The soliton molecule and asymmetric soliton of the higher-order Boussinesq equation can be constructed by the velocity resonance mechanism. Lump solution can be derived by solving the bilinear form of the higher-order Boussinesq equation. By some detailed calculations, the lump wave of the higher-order Boussinesq equation is just the bright form. These types of the localized excitations are exhibited by selecting suitable parameters.

中文翻译：

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Painlevé分析，孤子分子和高阶Boussinesq方程的总解

使用标准的Weiss-Tabor-Carnevale（WTC）方法证明了高阶Boussinesq方程的Painlevé可积性。通过引入因变量变换获得高阶Boussinesq方程的多孤子解。利用速度共振机理可以构造高阶Boussinesq方程的孤子和非对称孤子。整体解可以通过求解高阶Boussinesq方程的双线性形式来得出。通过一些详细的计算，高阶Boussinesq方程的总波动只是明亮的形式。这些类型的局部激发通过选择合适的参数来展现。