We propose a new approach for calculating multisoliton solutions of the Degasperis–Procesi equation and its shortwave limit by combining a reciprocal transformation with the Darboux transformation of the negative flow of the Kaup–Kupershmidt hierarchy. In particular, different specifications of the soliton parameters lead to two different types of soliton solutions of the Degasperis–Procesi equation.

中文翻译：

---

Degasperis-Procesi 方程及其短波极限的多孤子解：Darboux 变换方法

我们通过将倒易变换与 Kaup-Kupershmidt 层级负流的 Darboux 变换相结合，提出了一种计算 Degasperis-Procesi 方程及其短波极限的多孤子解的新方法。特别是，孤子参数的不同规格导致 Degasperis-Procesi 方程的两种不同类型的孤子解。