（2 + 1）维复杂mKdV系统的调制不稳定性和非线性动力学：基于Jacobi椭圆函数方法的新颖孤子解

IF 2.1 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Pramana Pub Date : 2025-08-29 DOI:10.1007/s12043-025-02970-z

Muhammad Ishfaq Khan, H W A Riaz, Saira Basharat, Aamir Farooq, Jamilu Sabi’u

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引用次数: 0

摘要

本文利用Jacobi椭圆函数展开方法研究了（2 + 1）维复修正Korteweg-de Vries （cmKdV）系统。主要目标是分析调制不稳定性并推导出创新的孤子解。然后，我们使用Jacobi椭圆函数展开法求解所得方程，该方法能够产生各种各样的解，包括周期解，扭结解和亮孤子解。图中显示了使用二维、三维和轮廓草图在多维计算中找到的解决方案的图形表示。结果表明，所采用的技术是有效和可靠的工具，可用于解决各种非线性微分方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Modulation instability and nonlinear dynamics in the (2 + 1)-dimensional complex mKdV system: innovative soliton solutions via Jacobi elliptic function method

This paper explores the (2 + 1)-dimensional complex modified Korteweg–de Vries (cmKdV) system using the Jacobi elliptic function expansion method. The primary goal is to analyse modulation instability and derive innovative soliton solutions. We then solve the resulting equation using the Jacobi elliptic function expansion method, which is capable of producing a wide variety of solutions, including periodic, kink and bright soliton solutions. Figures show graphical representations of the found solutions in multiple-dimension computations using 2D, 3D and contour sketches. The findings indicate that the technique used are effective and reliable tools that can be used to solve a variety of nonlinear differential equations.

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来源期刊

Pramana 物理-物理：综合

CiteScore

3.60

自引率

7.10%

发文量

206

审稿时长

3 months

期刊介绍： Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.