Multi‐component integrable couplings for the Ablowitz–Kaup–Newell–Segur and Volterra hierarchies
Multi‐component integrable couplings for the Ablowitz–Kaup–Newell–Segur and Volterra hierarchies
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DOI：
10.1002/mma.3372
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发表时间：
2015-11
影响因子：
2.9
通讯作者：
Shoufeng Shen;Chunxia Li;Yongyang Jin;Shuimeng Yu
中科院分区：
文献类型：
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作者：
Shoufeng Shen;Chunxia Li;Yongyang Jin;Shuimeng Yu
利用一类由三角形分块矩阵构成的N × N非半单李代数，从零曲率方程组生成多分量可积耦合孤子族.两个说明性的例子是连续的Ablowitz-Kaup-Newell-Segur层次和半离散的沃尔泰拉层次，以及递归算子。版权所有© 2014约翰威利父子有限公司.
A kind of N × N non‐semisimple Lie algebra consisting of triangular block matrices is used to generate multi‐component integrable couplings of soliton hierarchies from zero curvature equations. Two illustrative examples are made for the continuous Ablowitz–Kaup–Newell–Segur hierarchy and the semi‐discrete Volterra hierarchy, together with recursion operators. Copyright © 2014 John Wiley & Sons, Ltd.