N-soliton solution for an integrable nonlocal discrete focusing nonlinear Schrödinger equation
N-soliton solution for an integrable nonlocal discrete focusing nonlinear Schrödinger equation
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DOI：
10.1016/j.aml.2016.03.018
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发表时间：
2016-09
期刊：
影响因子：
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通讯作者：
Li-Yuan Ma;Zuo-nong Zhu
中科院分区：
文献类型：
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作者：
Li-Yuan Ma;Zuo-nong Zhu
利用Hirota双线性方法构造了一类可积非局部离散聚焦非线性薛定谔方程（dNLS+）的N孤子解，并给出了双孤子解的渐近分析.通过选择不同的参数，孤子解可以退化为空间周期解或奇异解。在连续极限条件下，离散孤子解为非局域聚焦非线性薛定谔方程的解。
In this paper, by employing the Hirota’s bilinear method, we construct the N-soliton solution for an integrable nonlocal discrete focusing nonlinear Schrödinger (dNLS+) equation, and give the asymptotic analysis of two-soliton solution. The soliton solutions can be reduced to spatial periodic solution or singular solution by choosing the different parameters. Under continuous limit, the discrete soliton yields the one of nonlocal focusing nonlinear Schrödinger equation.