| Exact Solutions of Ablowitz–Ladik Hierarchy with Self-Consistent Sources Revisited and Reductions |
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| 引用本文： | 李琪,段求员,陈登远,张建兵.Exact Solutions of Ablowitz–Ladik Hierarchy with Self-Consistent Sources Revisited and Reductions[J].理论物理通讯,2014(7). |
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| 作者姓名： | 李琪 段求员 陈登远 张建兵 |
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| 基金项目： | Supported by the Research Foundation of Education Bureau of Jiangxi Province of China under Grant No.GJJ13459;the National Natural Science Foundation of China under Grant No.11101350 |
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| 摘 要： | In the paper, Ablowitz–Ladik hierarchy with new self-consistent sources is investigated. First the source in the hierarchy is described as φnφn+1, where φnis related to the Ablowitz–Ladik spectral problem, instead of the corresponding adjoint spectral problem. Then by means of the inverse scattering transform, the multi-soliton solutions for the hierarchy are obtained. Two reductions to the discrete mKdV and nonlinear Schr¨odinger hierarchies with selfconsistent sources are considered by using the uniqueness of the Jost functions, as well as their N-soliton solutions.
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| 关 键 词： | Ablowitz–Ladik hierarchy with self-consistent sources discrete nonlinear Schr¨odinger hierarchy with self-consistent sources discrete mKdV hierarchy with self-consistent sources inverse scattering transform multi-soliton solution |
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