等离子体物理学和流体动力学：关于 (2+1)-dimensional 可变系数 Sawada-Kotera 系统的符号计算

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-08-08 DOI:10.1016/j.aml.2024.109262

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引用次数: 0

摘要

对现实世界的研究促进了非线性科学的发展，如今，流体动力学和等离子体物理学吸引着人们的目光。这封信研究了等离子体物理和流体动力学中的（2+1）维变系数 Sawada-Kotera 系统。我们建立了一个相似性还原系列，将该系统与已知的常微分方程连接起来。我们的相似性还原取决于该系统中的等离子体/流体可变系数，并受某些可变系数约束。

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In plasma physics and fluid dynamics: Symbolic computation on a (2+1)-dimensional variable-coefficient Sawada-Kotera system

Investigations on the real world have been facilitating the development of nonlinear science, and today, fluid dynamics and plasma physics attract people’s attention. This Letter studies a (2+1)-dimensional variable-coefficient Sawada-Kotera system in plasma physics and fluid dynamics. We build up a family of the similarity reductions, connecting that system with a known ordinary differential equation. Our similarity reductions depend on the plasma/fluid variable coefficients in that system, under certain variable-coefficient constraints.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.