Darboux transformation and multi-dark soliton for N-component nonlinear Schrödinger equations
Darboux transformation and multi-dark soliton for N-component nonlinear Schrödinger equations
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DOI：
10.1088/0951-7715/28/9/3243
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发表时间：
2013-09
期刊：
影响因子：
1.7
通讯作者：
Liming Ling;Li-Chen Zhao;B. Guo
中科院分区：
文献类型：
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作者：
Liming Ling;Li-Chen Zhao;B. Guo
本文得到了多分量耦合非线性薛定谔方程的一致达布变换，它可以约化为所有以前提出的达布变换。作为直接应用，我们导出了多分量非线性最小二乘方程的单暗孤子解和多暗孤子解。研究了三分量非线性最小二乘方程的单暗孤子和双暗孤子。这些结果对于研究玻色-爱因斯坦凝聚、非线性光学等物理系统中的矢量暗孤子具有重要意义。
In this paper, we obtain a uniform Darboux transformation for multi-component coupled nonlinear Schrödinger (NLS) equations, which can be reduced to all previously presented Darboux transformations. As a direct application, we derive the single dark soliton and multi-dark soliton solutions for multi-component NLS equations with a defocusing case and a mixed focusing and defocusing case. Some exact single and two-dark solitons of three-component NLS equations are investigated explicitly. The results are meaningful for vector dark soliton studies in many physical systems, such as Bose–Einstein condensate, nonlinear optics, etc.