Soliton solutions to a negative flow in the Degasperis–Procesi hierarchy and its short-wave limit
摘要
In this paper, a reciprocal transformation is applied to connect a negative flow of the Degasperis–Procesi (DP) equation with the Kaup–Kupershmidt (KK) equation. Via Darboux transformation, we obtained multisoliton solutions of a negative flow in the DP hierarchy and its short-wave limit.