等离子体物理学中扎博洛茨卡娅-霍霍洛夫动力学模型的列对称分析、行波解和守恒定律

IF 4.4 2区物理与天体物理 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Results in Physics Pub Date : 2024-09-26 DOI:10.1016/j.rinp.2024.107986

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引用次数: 0

摘要

本文分析了一维 Zabolotskaya-Khokholov（ZK）动力学模型的解析解和孤波解，该模型提供了声束或约束波束在非线性介质中传播的信息，并研究了声束的变形。利用李对称分析方法，我们获得了指定方程的矢量场、换向关系、最优系统、还原和解析解。此外，还利用新辅助方程法（NAEM）获得了 ZK 模型的孤波解。通过二维和三维动态波剖面图展示了几种情况下所获结果的行为。此外，ZK 模型的守恒定律是通过伊布拉吉莫夫新守恒定理获得的。

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Lie symmetry analysis, traveling wave solutions and conservation laws of a Zabolotskaya-Khokholov dynamical model in plasma physics

This article analyzes the analytic and solitary wave solutions of the one-dimensional Zabolotskaya-Khokholov (ZK) dynamical model which provides information about the propagation of sound beam or confined wave beam in nonlinear media and studies of beam deformation. By the Lie symmetry analysis method, we acquire the vector fields, commutation relations, optimal system, reduction, and analytic solutions to the specified equation by exerting the Lie group method. Moreover, the solitary wave solutions of the ZK model are procured by exerting the new auxiliary equation method (NAEM). The behavior of the acquired outcomes for several cases is exhibited graphically through two and three-dimensional dynamical wave profiles. Furthermore, the conservation laws of the ZK model are acquired by Ibragimov’s new conservation theorem.

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来源期刊

Results in Physics MATERIALS SCIENCE, MULTIDISCIPLINARYPHYSIC-PHYSICS, MULTIDISCIPLINARY

CiteScore

8.70

自引率

9.40%

发文量

754

审稿时长

50 days

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