用两种解析方法分析显著非线性演化模型的孤波解和稳定性

IF 1.1 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Kuwait Journal of Science Pub Date : 2025-08-22 DOI:10.1016/j.kjs.2025.100482

Saima Arshed, Ghazala Akram, Maasoomah Sadaf, Minal Irshad

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引用次数: 0

摘要

本研究的主要目标是找到（3 + 1）维Sakovich方程的孤波解。采用改进的f展开法和Sardar子方程法构造孤波解。通过应用改进的f展开法和Sardar子方程法，成功地得到了新的类孤子解、三角解、有理函数解和指数函数解。为了可视化它们的物理行为，其中一些解决方案使用等高线图、2D轮廓和3D表面进行图形化显示。此外，利用线性稳定性分析对方程的调制不稳定性进行了检验，这为所得到的波解的稳定性提供了重要信息。通过推导和分析Sakovich方程的孤立波解，这项工作有助于对Sakovich方程进行更深入的分析理解。

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Solitary wave solutions and stability analysis of notable nonlinear evolution model via two analytical methods

The primary goal of this research is to find solitary wave solutions to the (3 + 1)-dimensional Sakovich equation. The modified F-expansion method and the Sardar sub-equation method are employed to construct solitary wave solutions. Through the applications of modified F-expansion method and Sardar sub-equation method, new and novel soliton-like solutions, trigonometric solutions, rational function solutions, and exponential function solutions have been successfully obtained. In order to visualize their physical behavior, some of these solutions are graphically shown using contour plots, 2D profiles, and 3D surfaces. In addition, the modulation instability of the equation is examined using the linear stability analysis, which offers important information on the stability properties of the obtained wave solutions. This work contributes to a deeper analytical understanding of the Sakovich equation by deriving and analyzing its solitary wave solutions.

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来源期刊

Kuwait Journal of Science MULTIDISCIPLINARY SCIENCES-

CiteScore

1.60

自引率

28.60%

发文量

132

期刊介绍： Kuwait Journal of Science (KJS) is indexed and abstracted by major publishing houses such as Chemical Abstract, Science Citation Index, Current contents, Mathematics Abstract, Micribiological Abstracts etc. KJS publishes peer-review articles in various fields of Science including Mathematics, Computer Science, Physics, Statistics, Biology, Chemistry and Earth & Environmental Sciences. In addition, it also aims to bring the results of scientific research carried out under a variety of intellectual traditions and organizations to the attention of specialized scholarly readership. As such, the publisher expects the submission of original manuscripts which contain analysis and solutions about important theoretical, empirical and normative issues.