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

作     者：Gaihua Wang Nianhua Li Q P Liu Gaihua Wang;Nianhua Li;Q P Liu

作者机构：Department of MathematicsChina University of Mining and TechnologyBeiing100083China School of Mathematical SciencesHuaqiao UniversityQuanzhouFujian 362021China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2020年第72卷第4期

页      面：23-28页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：supported in part by the National Natural Science Foundation of China(Grant Nos.11871471,11931017,11505064 and 11805071) Natural Science Foundation of Fujian Province,China(Grant No.2016J05008) the Yue Qi Outstanding Scholar Project,China University of Mining and Technology,Beijing(Grant No.00-800015Z1177) the Fundamental Research Funds for the Central Universities 

主　　题：Darboux transformation reciprocal transformation two-component Camassa–Holm system multi-soliton solutions 

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