| Blow-up criteria and periodic peakons for a two-component extension of the μ-version modified Camassa-Holm equation |
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| 引用本文： | 李志刚,赵忠龙.Blow-up criteria and periodic peakons for a two-component extension of the μ-version modified Camassa-Holm equation[J].理论物理通讯,2020,72(3):35004-28. |
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| 作者姓名： | 李志刚 赵忠龙 |
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| 基金项目： | the National Nature Science Foundation of China(Grant Nos.11871471,11931017);Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi(Grant No.2019L0531);Shanxi Province Science Foundation for Youths(Grant No.201901D211274);the Fund for Shanxi‘1331KIRT’。 |
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| 摘 要： | Some two-component extensions of the modifiedμ-Camassa-Holm equation are proposed.We show that these systems admit Lax pairs and bi-Hamiltonian structures.Furthermore,we consider the blow-up phenomena for one of these extensions(2μmCH),and the periodic peakons of this system are derived.
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| 关 键 词： | modifiedμ-Camassa-Holm equation bi-Hamiltonian structures BLOW-UP peakons |
| 收稿时间： | 2019-10-13 |
Blow-up criteria and periodic peakons for a two-component extension of the μ-version modified Camassa-Holm equation |
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| Zhigang Li,Zhonglong Zhao.Blow-up criteria and periodic peakons for a two-component extension of the μ-version modified Camassa-Holm equation[J].Communications in Theoretical Physics,2020,72(3):35004-28. |
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| Authors: | Zhigang Li Zhonglong Zhao |
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| Institution: | 1.Department of Mathematics, China University of Mining and Technology, Beijing 100083, China;2.Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, China |
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| Abstract: | Some two-component extensions of the modifiedμ-Camassa-Holm equation are proposed.We show that these systems admit Lax pairs and bi-Hamiltonian structures.Furthermore,we consider the blow-up phenomena for one of these extensions (2μmCH),and the periodic peakons of this system are derived. |
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| Keywords: | modified μ-Camassa-Holm equation bi-Hamiltonian structures blow-up peakons |
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