双分量 BKP 层次结构的对称性、行波和自相似解

IF 6.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY alexandria engineering journal Pub Date : 2024-10-30 DOI:10.1016/j.aej.2024.10.063

J. Mohammed Zubair Ahamed, R. Sinuvasan

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引用次数: 0

摘要

我们研究了其列点对称的双分量 BKP 层次方程。为了获得组不变解的完整分类，我们推导了 A3,3(D⨂sT2)子代数的一维最优系统。通过使用这些子代数，我们构建了不变解，这些不变解通过魏尔斯特拉斯椭圆函数、雅可比椭圆函数和孤子解来表示。此外，我们还分析了该方程有界行波解的存在性。此外，通过利用尺度不变对称性，我们得出了自相似解。此外，通过奇异性分析，解可以用右潘列韦数列的形式表示。

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Symmetries, travelling-wave and self-similar solutions of two-component BKP hierarchy

We investigate the two-component BKP hierarchy equation for its Lie point symmetries. To obtain a complete classification of the group-invariant solution, we derive the one-dimensional optimal system of subalgebras of

A_{3, 3} (D ⨂_{s} T_{2})

. By employing those subalgebras, we construct the invariant solutions which are represented through Weierstrass elliptic functions, Jacobi elliptic functions, and soliton solutions. Also, we analyse the existence of a bounded travelling-wave solution for the equation. Moreover, through the utilization of scale-invariant symmetry, we derive a self-similar solution. Additionally, by conducting singularity analysis, the solution can be expressed in the form of a right Painlevè series.

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来源期刊

alexandria engineering journal Engineering-General Engineering

CiteScore

11.20

自引率

4.40%

发文量

1015

审稿时长

43 days

期刊介绍： Alexandria Engineering Journal is an international journal devoted to publishing high quality papers in the field of engineering and applied science. Alexandria Engineering Journal is cited in the Engineering Information Services (EIS) and the Chemical Abstracts (CA). The papers published in Alexandria Engineering Journal are grouped into five sections, according to the following classification: • Mechanical, Production, Marine and Textile Engineering • Electrical Engineering, Computer Science and Nuclear Engineering • Civil and Architecture Engineering • Chemical Engineering and Applied Sciences • Environmental Engineering