| Multi-soliton solutions of a two-component Camassa–Holm system:Darboux transformation approach |
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| 作者姓名： | Gaihua Wang Nianhua Li Q P Liu |
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| 作者单位： | Department of Mathematics;School of Mathematical Sciences |
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| 基金项目： | 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. |
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| 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 twoboson 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.
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| 关 键 词： | DARBOUX TRANSFORMATION reciprocal TRANSFORMATION TWO-COMPONENT Camassa–Holm system multi-soliton SOLUTIONS |
| 收稿时间： | 2019-12-09 |
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