不可压缩流体的新扩展 (3+1) 维波伊蒂-里昂-曼纳-彭皮内利方程的新复合子解决方案

IF 1.8 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

EPL Pub Date : 2024-07-14 DOI:10.1209/0295-5075/ad59c1

Kang-Jia Wang and Shuai Li

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引用次数: 0

摘要

这封信主要探讨了在不可压缩流体中起重要作用的新扩展 (3+1)-dimensional Boiti-Leon-Manna-Pempinelli 方程 (BLMPE) 的一些新精确解。采用 Cole-Hopf 变换，成功构建了所考虑方程的双线性形式。然后，通过应用具有新颖函数形式的安萨特函数方法，建立了奇异复合子解（SCS）。此外，我们还通过施加限制条件找到了非奇异复子解（NCSs）。为了更好地揭示所得到的解的行为，我们通过 Maple 绘制了相应的轮廓。

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Novel complexiton solutions to the new extended (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation for incompressible fluid

This letter focuses on exploring some novel exact solutions to the new extended (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation (BLMPE) that has a major role in incompressible fluid. Adopting the Cole-Hopf transformation, the bilinear form of the considered equation is successfully constructed. Then the singular complexiton solutions (SCSs) are developed by applying the ansatz function method with a novel functional form. Additionally, we also find the non-singular complexiton solutions (NCSs) via imposing the restrictive conditions. To unveil the behaviors of the attained solutions better, the corresponding outlines are plotted via Maple.

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来源期刊

EPL 物理-物理：综合

CiteScore

3.30

自引率

5.60%

发文量

332

审稿时长

1.9 months

期刊介绍： General physics – physics of elementary particles and fields – nuclear physics – atomic, molecular and optical physics – classical areas of phenomenology – physics of gases, plasmas and electrical discharges – condensed matter – cross-disciplinary physics and related areas of science and technology. Letters submitted to EPL should contain new results, ideas, concepts, experimental methods, theoretical treatments, including those with application potential and be of broad interest and importance to one or several sections of the physics community. The presentation should satisfy the specialist, yet remain understandable to the researchers in other fields through a suitable, clearly written introduction and conclusion (if appropriate). EPL also publishes Comments on Letters previously published in the Journal.