-soliton solution for an integrable nonlocal discrete focusing nonlinear Schrödinger equation

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• 作者：Li-Yuan Ma ; Zuo-Nong Zhu ; ^{znzhu@sjtu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Discrete nonlocal Schrö ; dinger equation ; NN-soliton solution ; Hirota&rsquo ; s bilinear method
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：59
• 期：Complete
• 页码：115-121
• 全文大小：867 K

文摘

In this paper, by employing the Hirota’s bilinear method, we construct the N$N$-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.