Scholarlink

<p>In this work, a broad class of new exact solutions is obtained for the generalized third-order nonlinear Schrödinger equation (NLSE) and the (2+1)-dimensional Broer–Kaup–Kupershmidt (BKK) system by employing a recently developed semi-analytical approach. Various types of soliton structures are derived, including dark, bright, and singular solitons for the generalized third-order NLSE, as well as kink, antikink, and singular solutions for the BKK system. To gain a further understanding of dynamical properties and attributes of the solutions obtained, detailed graphical illustrations are offered. The results extend the known families of exact solutions of these fundamental nonlinear models and help in the further improvement of ansatz-based approaches within the theory of nonlinear wave processes.</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

Semi-Analytical Construction of Soliton Solutions for the Generalized Third-Order NLSE and the (2+1)-Dimensional BKK System

  • 期刊论文

  • 发表日期：

    2026年4月7日

查看全文
  • Sandeep Malik,
  • Zehra Pinar Izgi,
  • Sachin Kumar,
  • Hadi Rezazadeh,
  • Ulviye Demirbilek

摘要

In this work, a broad class of new exact solutions is obtained for the generalized third-order nonlinear Schrödinger equation (NLSE) and the (2+1)-dimensional Broer–Kaup–Kupershmidt (BKK) system by employing a recently developed semi-analytical approach. Various types of soliton structures are derived, including dark, bright, and singular solitons for the generalized third-order NLSE, as well as kink, antikink, and singular solutions for the BKK system. To gain a further understanding of dynamical properties and attributes of the solutions obtained, detailed graphical illustrations are offered. The results extend the known families of exact solutions of these fundamental nonlinear models and help in the further improvement of ansatz-based approaches within the theory of nonlinear wave processes.