Scholarlink

<p>In this article, we obtain various newly formed closed-form soliton solutions to the Caudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK) equation by taking advantage of the application of the Jacobi elliptic function expansion method (JEFEM). Jacobi elliptic functions form a well-known fundamental class of special functions in atmospheric and oceanic sciences that have garnered significant attention for their applications in various fields. The dynamics of different evolving forms of the resulting solutions are shown utilizing graphics such as 3D surfaces, 2D graphs, and contour plots through software <i>Mathematica 14.3</i> with appropriate parametric values. These new solitary wave solutions include singular, dark, bright, and periodic multisolitons. Significantly, all such solutions have varied but potential applications in various fields, including mathematical physics and engineering. The findings of this work demonstrate that this method can significantly help find exact traveling wave solutions to atmospheric sciences. This study introduces a vital way to understand dynamic waveforms of soliton-form solutions and depict the intricate physical processes in various fields of nonlinear research field.</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

Soliton solutions and evolving forms of the caudrey-Dodd-Gibbon-Sawada-Kotera equation using the modern mathematical method

  • 期刊论文

  • 发表日期：

    2026年1月14日

查看全文
  • Ruchi Kaur,
  • Ishmeet Kaur,
  • Sachin Kumar

摘要

In this article, we obtain various newly formed closed-form soliton solutions to the Caudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK) equation by taking advantage of the application of the Jacobi elliptic function expansion method (JEFEM). Jacobi elliptic functions form a well-known fundamental class of special functions in atmospheric and oceanic sciences that have garnered significant attention for their applications in various fields. The dynamics of different evolving forms of the resulting solutions are shown utilizing graphics such as 3D surfaces, 2D graphs, and contour plots through software Mathematica 14.3 with appropriate parametric values. These new solitary wave solutions include singular, dark, bright, and periodic multisolitons. Significantly, all such solutions have varied but potential applications in various fields, including mathematical physics and engineering. The findings of this work demonstrate that this method can significantly help find exact traveling wave solutions to atmospheric sciences. This study introduces a vital way to understand dynamic waveforms of soliton-form solutions and depict the intricate physical processes in various fields of nonlinear research field.