We analyze soliton solutions and verify the Hirota $N$-soliton condition for the B-type Kadomtsev–Petviashvili equation, within the Hirota bilinear formulation. A weight number is used in an algorithm to check the Hirota condition while transforming the Hirota function in $N$ wave vectors to a homogeneous polynomial. Soliton solutions are presented under general dispersion relations.

中文翻译：

---

一般色散关系下B型Kadomtsev–Petviashvili方程的孤子解

我们分析孤子解决方案并验证Hirota $ñ$Hirota双线性公式中B型Kadomtsev–Petviashvili方程的一个孤子条件。在算法中使用权数来检查Hirota条件，同时在其中转换Hirota函数$ñ$波向量到齐次多项式。孤子解在一般色散关系下给出。