流体或等离子体中具有外力控制的非线性波的状态转换机制

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-09-27 DOI:10.1016/j.aml.2024.109322

Xuemin Yao , Jinying Ma , Gaoqing Meng

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引用次数: 0

摘要

本文报告了具有外力控制的可变系数 (3+1)-dimensional Kadomtsev-Petviashvili 方程的状态转换机制，这将有助于为流体力学或等离子体提供潜在的理论启示。利用 Hirota 双线性方法，可以推导出非自治的双oliton 解。随后，根据状态转换条件对各种外力作用下的转换波进行了调制。图示表明，外力会影响变换波的调制面。总之，通过添加外力发现非自治系统中仍可出现波解，更有利于为实际应用提供指导。

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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The state transition mechanism of nonlinear waves with external force control in the fluid or plasma

In this paper, the state transition mechanism in the variable-coefficient (3+1)-dimensional Kadomtsev–Petviashvili equation with external force control is reported, which could be beneficial for providing potential theoretical insights in fluid mechanics or plasma. Utilizing the Hirota bilinear method, the non-autonomous two-soliton solution can be derived. Subsequently, the transformed waves under various external forces are modulated based on the state transition condition. The graphical representation indicates that the external force affects the modulation plane of the transformed waves. In conclusion, the discovery that wave solutions can still occur in non-autonomous systems through the addition of external forces is more conducive to providing practical guidance for applications.

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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.