| Non-isospectral integrable couplings of Ablowitz-Kaup-Newell-Segur （AKNS） hierarchy with self-consistent sources |
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| 引用本文： | 于发军,李 丽. Non-isospectral integrable couplings of Ablowitz-Kaup-Newell-Segur （AKNS） hierarchy with self-consistent sources[J]. 中国物理 B, 2008, 17(11): 3965-3973 |
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| 作者姓名： | 于发军 李 丽 |
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| 作者单位： | College of Maths and Systematic Science, Shenyang NormalUniversity, Shenyang 110034, China;College of Maths and Systematic Science, Shenyang NormalUniversity, Shenyang 110034, China |
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| 基金项目： | Project supported bythe Research work of Liaoning Provincial Development of Education,China (Grant No 2008670). |
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| 摘 要： | A hierarchy of non-isospectral Ablowitz-Kaup-Newell-Segur （AKNS） equations with self-consistent sources is derived. As a general reduction case, a hierarchy of non-isospectral nonlinear SchrSdinger equations （NLSE） with selfconsistent sources is obtained. Moreover, a new non-isospectral integrable coupling of the AKNS soliton hierarchy with self-consistent sources is constructed by using the Kronecker product.
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| 关 键 词： | 数学物理方法 AKNS方程 自调和源 可积耦 |
| 收稿时间： | 2008-03-31 |
Non-isospectral integrable couplings of Ablowitz--Kaup--Newell--Segur (AKNS) hierarchy with self-consistent sources |
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| Yu Fa-Jun and Li Li. Non-isospectral integrable couplings of Ablowitz--Kaup--Newell--Segur (AKNS) hierarchy with self-consistent sources[J]. Chinese Physics B, 2008, 17(11): 3965-3973 |
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| Authors: | Yu Fa-Jun and Li Li |
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| Affiliation: | College of Maths and Systematic Science, Shenyang NormalUniversity, Shenyang 110034, China |
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| Abstract: | A hierarchy of non-isospectral Ablowitz--Kaup--Newell--Segur (AKNS)equations with self-consistent sources is derived. As a generalreduction case, a hierarchy of non-isospectral nonlinearSchr"{o}dinger equations (NLSE) with self-consistent sources isobtained. Moreover, a new non-isospectral integrable coupling of theAKNS soliton hierarchy with self-consistent sources is constructedby using the Kronecker product. |
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| Keywords: | equations hierarchy self-consistent sources integrable couplings |
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