Scholarlink

<p>This study investigates dark solitons, breathers, and rogue waves of the nonlocal nonlinear Schrödinger (NNLS) equation, utilizing the bilinear Kadomtsev–Petviashvili hierarchy reduction method. For the focusing NNLS equation, it is shown that both breathers and rogue waves exist, whereas for the defocusing NNLS equation, only dark solitons and breathers are present. Due to the inherent parity-time symmetry, these solutions always appear in pairs, with no degeneracy. As an application, the dynamic behaviors of these solitary wave solutions are systematically analyzed and illustrated through representative figures.</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

Dark solitons, breathers, rogue waves, and their dynamic behaviors in the nonlocal nonlinear Schrödinger equation

  • 期刊论文

  • 发表日期：

    2026年4月15日

查看全文
  • Shuping Huang,
  • Xiaoming Zhu

摘要

This study investigates dark solitons, breathers, and rogue waves of the nonlocal nonlinear Schrödinger (NNLS) equation, utilizing the bilinear Kadomtsev–Petviashvili hierarchy reduction method. For the focusing NNLS equation, it is shown that both breathers and rogue waves exist, whereas for the defocusing NNLS equation, only dark solitons and breathers are present. Due to the inherent parity-time symmetry, these solutions always appear in pairs, with no degeneracy. As an application, the dynamic behaviors of these solitary wave solutions are systematically analyzed and illustrated through representative figures.