Scholarlink

<p>As local and nonlocal reductions of a discrete second-order Ablowitz-Kaup-Newell-Segur system, two discrete nonlinear Schrödinger type equations are considered. Through the bilinearization reduction method, we construct double Casoratian solutions of the reduced discrete nonlinear Schrödinger type equations, including soliton solutions and Jordan-block solutions. Dynamics of the obtained one-, two-soliton and the simplest Jordan-block solutions are analyzed and illustrated. Moreover, both semi-continuous limit and full-continuous limit, are applied to recover the local and nonlocal semi-discrete nonlinear Schrödinger type equations, as well as the local and nonlocal continuous nonlinear Schrödinger type equations. One-, two-soliton and the simplest Jordan-block solutions for the local and nonlocal semi-discrete nonlinear Schrödinger type equations are constructed and the corresponding dynamics are analyzed and illustrated.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Discrete Nonlinear Schrödinger Type Equations: Solutions and Continuum Limits

  • 期刊论文

  • 发表日期：

    2026年3月11日

查看全文
  • Song-lin Zhao,
  • Xiao-hui Feng,
  • Wei Feng

摘要

As local and nonlocal reductions of a discrete second-order Ablowitz-Kaup-Newell-Segur system, two discrete nonlinear Schrödinger type equations are considered. Through the bilinearization reduction method, we construct double Casoratian solutions of the reduced discrete nonlinear Schrödinger type equations, including soliton solutions and Jordan-block solutions. Dynamics of the obtained one-, two-soliton and the simplest Jordan-block solutions are analyzed and illustrated. Moreover, both semi-continuous limit and full-continuous limit, are applied to recover the local and nonlocal semi-discrete nonlinear Schrödinger type equations, as well as the local and nonlocal continuous nonlinear Schrödinger type equations. One-, two-soliton and the simplest Jordan-block solutions for the local and nonlocal semi-discrete nonlinear Schrödinger type equations are constructed and the corresponding dynamics are analyzed and illustrated.