Multi-soliton solutions of a two-component Camassa-Holm system: Darboux transformation approach

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2020,（4）
• 页码范围: 23-28
• 页数: 6页
• 语种: 英文

摘要

We propose and develop another approach to constructing multi-soliton solutions of an integrable two-component Camassa-Holm (CH2) system.With the help of a reciprocal transformation and a gauge transformation,we relate the CH2 system to a negative flow of the Broer-Kaup or two-boson hierarchy.The solutions of this negative flow are given in terms of Wronskians via Darboux transformation.Then the multi-soliton solutions of the CH2 system are recovered in parametric form by inverting the reciprocal transformation and the gauge transformation.