A (2+1)-dimensional fifth-order integrable model, the fifth member of the Kadomtsev-Petviashvilli hierarchy (KP5 equation) is investigated. The Lax pairs and the bilinear form of the system lead to multiple soliton solutions. Applying the velocity resonance conditions to the multiple soliton solutions, various types of soliton molecules (soliton bound states) such as the soliton molecules, breather molecules and breather-soliton molecules are presented. Moreover, the interactions among the molecules are also investigated.

中文翻译：

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（2 + 1）维五阶KdV方程的孤子和呼吸分子的特殊类型

研究（2 + 1）维五阶可积模型，Kadomtsev-Petviashvilli层次结构的第五个成员（KP5方程）。Lax对和系统的双线性形式导致多个孤子解。将速度共振条件应用于多个孤子溶液，提出了各种类型的孤子分子（孤子结合态），例如孤子分子，通气分子和通气孤子分子。此外，还研究了分子之间的相互作用。